Found 151 Documents (Results 1–100)
Heuristics for 2-class towers of cyclic cubic fields. (English) Zbl 07815484
Reviewer: Günter Lettl (Graz)
The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups. (English) Zbl 07813872
Reviewer: Alessandro Cobbe (Neubiberg)
On Ozaki’s theorem realizing prescribed \(p\)-groups as \(p\)-class tower groups. (English) Zbl 07810349
Note on the Hilbert 2-class field tower. (English) Zbl 1538.11187
Reviewer: Władysław Narkiewicz (Wrocław)
Unit groups of some multiquadratic number fields of degree 16. (English) Zbl 1514.11070
Reviewer: Artūras Dubickas (Vilnius)
On metabelian 2-class field towers over \(\mathbb{Z}_2\)-extensions of real quadratic fields. (English) Zbl 1506.11143
Unit groups of some multiquadratic number fields and 2-class groups. (English) Zbl 1513.11178
Reviewer: Nikolai L. Manev (Sofia)
Structure of the Galois group of the maximal unramified pro-2-extension of some \(\mathbb{Z}_2\)-extensions. (English) Zbl 1499.11335
Congruence and metaplectic covariance: rational biquadratic reciprocity and quantum entanglement. (English) Zbl 1488.11171
Heuristics for \(p\)-class towers of real quadratics fields. (English) Zbl 1480.11143
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions. (English) Zbl 1488.11169
A quotient of the Lubin-Tate tower. II. (English) Zbl 1497.11134
Reviewer: Marc-Hubert Nicole (Caen)
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. (English) Zbl 1475.11002
Documents Mathématiques 18. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-923-4/hbk). x, 187 p. (2020).
Reviewer: Michael Th. Rassias (Zürich)
5-class towers of cyclic quartic fields arising from quintic reflection. (English. French summary) Zbl 1457.11155
Reviewer: Günter Lettl (Graz)
The narrow 2-class field tower of some real quadratic number fields. (English) Zbl 1462.11101
Reviewer: Claude Levesque (Québec)
The structure of the second \(2\)-class group of some special Dirichlet fields. (English) Zbl 1442.11154
Reviewer: Władysław Narkiewicz (Wrocław)
Irreducible characters with bounded root Artin conductor. (English) Zbl 1477.11189
Reviewer: Alessandro Cobbe (Neubiberg)
Real quadratic number fields with metacyclic Hilbert 2-class field tower. (English) Zbl 1474.11187
Reviewer: Alessandro Cobbe (Neubiberg)
Classification of metabelian 2-groups \(G\) with \(\mathbf{G}^{\mathrm{ab}} (\mathbf{2},\mathbf{2}^{\mathbf n})\), \(\mathbf n\geq \mathbf 2\), and rank \(\mathbf d(\mathbf G^{\prime})=\mathbf 2\). Applications to real quadratic number fields. (English) Zbl 1435.11139
Reviewer: Günter Lettl (Graz)
On the \(p\)-adic cohomology of the Lubin-Tate tower. (English. French summary) Zbl 1419.14031
Reviewer: Judith Ludwig (Heidelberg)
The capitulation problem for certain cyclic quartic number fields. (English) Zbl 1381.11104
Reviewer: Claude Levesque (Québec)
The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). (English) Zbl 1406.11111
A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower. (English) Zbl 1414.11148
Coclass of \(\mathrm{Gal}(\Bbbk_2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\) with 2-class groups of types (2,2,2). (English) Zbl 1335.11091
Reviewer: John D. Dixon (Ottawa)
On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields. (English) Zbl 1334.11085
Reviewer: Alessandro Cobbe (Neubiberg)
Maximal varieties and the local Langlands correspondence for \(\mathrm{GL}(n)\). (English) Zbl 1336.11074
Reviewer: Manouchehr Misaghian (Prairie View)
Effective bounds on class number and estimation for any step of towers of algebraic function fields over finite fields. (English) Zbl 1346.14068
Reviewer: Fernando Torres (Campinas)
Lower bounds on the number of rational points of Jacobians over finite fields and application to algebraic function fields in towers. (English) Zbl 1351.14016
Reviewer: Michael J. Jacobson jun. (Calgary)
Some effective results on the Tsfasman-Vlăduţ invariants. (Quelques résultats effectifs concernant les invariants de Tsfasman-Vlăduţ.) (French. English summary) Zbl 1326.11071
Reviewer: Abdelmalek Azizi (Oujda)
Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). (English) Zbl 1319.11079
Reviewer: Władysław Narkiewicz (Wrocław)
On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4. (English) Zbl 1319.11080
Reviewer: Władysław Narkiewicz (Wrocław)
Lefschetz operator and local Langlands modulo \(\ell\): the limit case. (English) Zbl 1329.11126
Reviewer: Yuval Z. Flicker (Columbus)
Hilbert \(2\)-class field towers of real quadratic function fields. (English) Zbl 1294.11188
Reviewer: Franz Lemmermeyer (Jagstzell)
On the Hilbert \(2\)-class field tower of some abelian \(2\)-extensions over the field of rational numbers. (English) Zbl 1313.11128
Reviewer: Radan Kučera (Brno)
The distribution of second \(p\)-class groups on coclass graphs. (English. French summary) Zbl 1292.11126
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
Hilbert 2-class field towers of inert imaginary quadratic function fields. (English) Zbl 1295.11129
Reviewer: Władysław Narkiewicz (Wrocław)
Hilbert 2-class field towers of imaginary quadratic function fields. (English) Zbl 1368.11119
Reviewer: Gabriel D. Villa-Salvador (México D. F.)
Hilbert \(\ell\)-class field towers of imaginary \(\ell\)-cyclic function fields. (English) Zbl 1524.11210
Density of imaginary cubic function fields having infinite Hilbert 3-class field tower. (English) Zbl 1318.11151
Lefschetz trace formula and \(\ell\)-adic cohomology of Lubin-Tate tower. (English) Zbl 1285.22016
Reviewer: Liang Xiao (Irvine)
Lefschetz operator and local Langlands mod \(\ell\): the regular case. (English) Zbl 1328.11114
Reviewer: Ivan Matić (Osijek)
Golod-Shafarevich groups: a survey. (English) Zbl 1286.20033
Reviewer: A. Caranti (Trento)
Manifolds counting and class field towers. (English) Zbl 1241.22014
Reviewer: Gabriela Paola Ovando (Rosario)
The commutativity of the Galois groups of the maximal unramified pro-\(p\)-extensions over the cyclotomic \(\mathbb Z_p\)-extensions. (English) Zbl 1287.11125
Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound. (English) Zbl 1280.11074
Actes de la conférence “Théorie des nombres et applications”. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2011, 5-18 (2011).
Infinite Hilbert class field towers from Galois representations. (English) Zbl 1227.11117
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
On maximal tamely ramified pro-2-extensions over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field. (English) Zbl 1263.11097
Reviewer: Franz Lemmermeyer (Jagstzell)
Infinite Hilbert 2-class field tower of quadratic number fields. (English) Zbl 1211.11127
Acta Arith. 145, No. 3, 267-272 (2010); acknowledgement of priority ibid. 167, No. 3, 299 (2015).
Reviewer: Elliot Benjamin (Swanville)
On the infinitude of 2-class field towers of some imaginary quadratic number fields. (English) Zbl 1204.11173
Reviewer: Alessandro Cobbe (Cervignano del Friuli)
On 2-class field towers of some complex quartic number fields. (English) Zbl 1222.11129
Reviewer: Franz Lemmermeyer (Jagstzell)
MSC:
11R29
Abelian 2-class field towers over the cyclotomic \({\mathbb {Z}_2}\)-extensions of imaginary quadratic fields. (English) Zbl 1239.11121
Reviewer: Franz Lemmermeyer (Jagstzell)
On the realizations of the Langlands correspondences in the cohomology of the Drinfeld and Lubin-Tate towers. (Sur les réalisations des correspondances de Langlands dans la cohomologie des tours de Drinfeld et de Lubin-Tate.) (French. English summary) Zbl 1226.11066
Algèbre et théorie des nombres. Années 2007–2009. Besançon: Laboratoire de Mathématiques de Besançon. Publications Mathématiques de l’Université de Franche-Comté Besançon. Algèbre et Théorie des Nombres 2007-2009, 33-77 (2009).
Reviewer: Florin Nicolae (Berlin)
Construction of real abelian fields of degree \(p\) with \(\lambda_p=\mu_p=0\). (English) Zbl 1256.11062
Reviewer: Franz Lemmermeyer (Jagstzell)
On 2-class field towers of imaginary quadratic number fields. (English) Zbl 1235.11101
Reviewer: Elliot Benjamin (Swanville)
A Golod-Shafarevich equality and \(p\)-tower groups. (English) Zbl 1241.11130
Reviewer: Alessandro Cobbe (Cervignano del Friuli)
Infinite class field towers. (English) Zbl 1170.11041
Reviewer: Franz Lemmermeyer (Jagstzell)
Necessary condition and sufficient for certain Galois group to be metacyclic. (Condition nécessaire et suffisante pour que certain groupe de Galois soit métacyclique.) (French) Zbl 1168.11046
Reviewer: Franz Lemmermeyer (Jagstzell)
Computation of Galois groups associated to the 2-class towers of some imaginary quadratic fields with 2-class group \(C_2 \times C_2\times C_2\). (English) Zbl 1177.11096
Reviewer: Franz Lemmermeyer (Jagstzell)
\(p\)-tower groups over quadratic imaginary number fields. (English) Zbl 1213.11189
Reviewer: Franz Lemmermeyer (Jagstzell)
Non-abelian Iwasawa theory of cyclotomic \(\mathbb Z_p\)-extensions. (English) Zbl 1159.11041
The COE seminar on mathematical sciences 2007. Papers from the seminar held in Keio, Japan, 2007. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 37, 85-97 (2008).
Reviewer: Thong Nguyen Quang Do (Besançon)
On generators of the group \(\hat{H}^{-1}(\text{Gal}(L/K),E_L)\) in some abelian \(p\)-extension \(L/K\). (English) Zbl 1219.11168
Chaumine, Jean (ed.) et al., Algebraic geometry and its applications. Dedicated to Gilles Lachaud on his 60th birthday. Proceedings of the first SAGA conference, Papeete, France, May 7–11, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-342-3/hbk). Series on Number Theory and Its Applications 5, 273-283 (2008).
Reviewer: Franz Lemmermeyer (Jagstzell)
Infinite Hilbert class field towers over cyclotomic fields. (English) Zbl 1186.11068
Reviewer: Teruo Takeuchi (Niigata)
The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) (French) Zbl 1136.14001
Progress in Mathematics 262. Basel: Birkhäuser (ISBN 978-3-7643-8455-5/hbk). xii, 406 p. (2008).
Reviewer: Elmar Große-Klönne (Berlin)
Some problems on \(p\)-class field towers. (English) Zbl 1245.11110
Reviewer: Franz Lemmermeyer (Jagstzell)
MSC:
11R23
A note on the 3-class field tower of a cyclic cubic field. (English) Zbl 1123.11036
Reviewer: Elliot Benjamin (Swanville)
Towers of function fields over cubic fields. (English) Zbl 1220.11141
Duisburg-Essen: Univ. Duisburg-Essen, Fachbereich für Mathematik (Diss.). 54 p. (2006).
The growth of Selmer ranks of an abelian variety with complex multiplication. (English) Zbl 1140.11032
Reviewer: Zhang Xianke (Beijing)
Densities for some real quadratic fields with infinite Hilbert 2-class field towers. (English) Zbl 1090.11067
Reviewer: Franz Lemmermeyer (Bilkent)
On modular functors and the ideal Teichmüller tower. (English) Zbl 1149.55015
Reviewer: V. V. Chueshev (Kemerovo)
On the maximal unramified pro-2-extension of \({\mathbb Z}_2\)-extensions of certain real quadratic fields. II. (English) Zbl 1151.11055
Some real quadratic fields with infinite Hilbert 2-class field towers. (English) Zbl 1075.11066
Reviewer: Elliot Benjamin (Swanville)
On the Hilbert 2-class field tower of real quadratic fields. (Sur la tour des 2-corps de classes de Hilbert des corps quadratiques réels.) (French) Zbl 1105.11035
Reviewer: Franz Lemmermeyer (Bilkent)
The Hilbert tower of cyclic cubic fields whose 3-class number is 9. (La tour de Hilbert des corps cubiques cycliques dont le 3-nombre de classes est 9.) (French) Zbl 1102.11061
Reviewer: Charles Parry (Blacksburg)
Imaginary quadratic fields with 2-class rank equal to 4 and infinite Hilbert 2-class field towers. (English) Zbl 1059.11066
Reviewer: Franz Lemmermeyer (Bilkent)
\(p\)-adic automorphic forms on Shimura varieties. (English) Zbl 1055.11032
Springer Monographs in Mathematics. New York, NY: Springer (ISBN 0-387-20711-2/hbk). xi, 390 p. (2004).
Reviewer: Andrzej Dąbrowski (Szczecin)
On quadratic number fields each having an unramified extension which properly contains the Hilbert class field of its genus field. (English) Zbl 1061.11066
Hashimoto, Ki-ichiro (ed.) et al., Galois theory and modular forms. Boston MA: Kluwer Academic Publishers (ISBN 1-4020-7689-4/hbk). Dev. Math. 11, 271-286 (2004).
Reviewer: Elliot Benjamin (Swanville)
A density result for some imaginary quadratic fields with infinite Hilbert 2-class field towers. (English) Zbl 1054.11055
Reviewer: Elliot Benjamin (Swanville)
Infinite 2-class field towers of some imaginary quadratic number fields. (English) Zbl 1060.11074
Reviewer: Franz Lemmermeyer (Bilkent)
The 2-rank of the class group of certain biquadratic fields and applications. (Le 2-rang du groupe de classes de certains corps biquadratiques et applications.) (French) Zbl 1051.11057
Reviewer: Elliot Benjamin (Swanville)
On the maximal unramified pro-2-extension of \(\mathbb Z_2\)-extensions of certain real quadratic fields. (English) Zbl 1061.11061
Reviewer: Abbas Movahhedi (Limoges)
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). (English) Zbl 1045.11077
Reviewer: Charles Parry (Blacksburg)
Computation of Galois groups associated to the 2-class towers of some quadratic fields. (English) Zbl 1039.11091
Reviewer: Franz Lemmermeyer (Bilkent)
On the 3-class field tower of some biquadratic fields. (English) Zbl 1064.11074
Reviewer: Teruo Takeuchi (Niigata)
On a question of Martinet concerning the 2-class field tower of imaginary quadratic number field. (English) Zbl 1033.11051
Reviewer: Franz Lemmermeyer (Bilkent)
Coverings of curves with asymptotically many rational points. (English) Zbl 1055.11040
Reviewer: Robert F. Lax (Baton Rouge)
Galois theory of \(p\)-extensions. Transl. from the German by F. Lemmermeyer. (English) Zbl 1023.11002
Springer Monographs in Mathematics. Berlin: Springer. xiii, 190 p. EUR 69.95/net; sFr 116.50; £49.00; $ 79.95 (2002).
Reviewer: B.Kunyavskii (Ramat Gan)
On cyclic fields of odd prime degree \(p\) with infinite Hilbert \(p\)-class field towers. (English) Zbl 1037.11073
Reviewer: Ken Yamamura (Yokosuka)
Sur une question de capitulation. (On the capitulation problem). (French) Zbl 1010.11061
Reviewer: Florence Soriano-Gafiuk (Schweyen)
Hilbert class field towers of function fields over finite fields and lower bounds for \(A(q)\). (English) Zbl 0991.11030
Reviewer: Robert F.Lax (Baton Rouge)
On the locally cyclotomic tower of a number field. (A propos de la tour localement cyclotomique d’un corps de nombres.) (French) Zbl 1013.11075
Reviewer: Florence Soriano-Gafiuk (Schweyen)
Gauss problem for function fields. (English) Zbl 1014.11072
Reviewer: Gabriel D.Villa-Salvador (México)
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