On \(m\)-ovoids of finite classical polar spaces with an irreducible transitive automorphism group. (English) Zbl 1541.51009
Reviewer: Luca Giuzzi (Brescia)
Found 193 Documents (Results 1–100)
Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs. (English) Zbl 1527.05112
Renitent lines. (English) Zbl 1523.51008
A note on small weight codewords of projective geometric codes and on the smallest sets of even type. (English) Zbl 1522.51009
Equiangular lines in Euclidean spaces: dimensions 17 and 18. (English) Zbl 1512.05078
Reviewer: M. G. Mahmoudi (Tehran)
The completion of the classification of the finite dense near \(2d\)-gons, \(d \in \{3,4\}\), with four points on each line. (English) Zbl 1515.51008
Reviewer: Jan De Beule (Brussel)
A combinatorial characterization of extremal generalized hexagons. (English) Zbl 1509.51001
Reviewer: Hendrik Van Maldeghem (Gent)
MSC:
51E12
A characterization of the Coxeter cap. (English) Zbl 1504.51005
Reviewer: Norbert Knarr (Stuttgart)
Linear cutting blocking sets and minimal codes in the rank metric. (English) Zbl 1505.94086
Reviewer: Ferdinando Zullo (Caserta)
Finite subunitals of the Hermitian unitals. (English) Zbl 07493140
Reviewer: Hans Havlicek (Wien)
On regular systems of finite classical polar spaces. (English) Zbl 1487.51002
Reviewer: John Bamberg (Crawley)
MSC:
51A50
On ovoids of the generalized quadrangle \(H(3,q^2)\). (English) Zbl 1475.51003
Reviewer: Harald Löwe (Braunschweig)
Embeddings of unitals such that each block is a subline. (English) Zbl 1469.51004
Reviewer: Geertrui Van de Voorde (Canterbury)
Weakly modular graphs and nonpositive curvature. (English) Zbl 1475.05001
Memoirs of the American Mathematical Society 1309. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4362-7/pbk, 978-1-4704-6349-6/ebook). vi, 159 p. (2020).
Reviewer: Ioan Tomescu (Bucureşti)
On near polygons all whose hexes are dual polar spaces. (English) Zbl 1471.51002
Reviewer: Luca Giuzzi (Brescia)
On sets of points with few odd secants. (English) Zbl 1436.51006
MSC:
51E15
The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle \(H(3,4)\). (English) Zbl 1456.51003
Reviewer: Guglielmo Lunardon (Napoli)
A generalization of the Haemers-Mathon bound for near hexagons. (English) Zbl 1479.51003
Reviewer: Daniele Bartoli (Perugia)
The hyperplanes of the near hexagon related to the extended ternary Golay code. (English) Zbl 1460.51003
Reviewer: Norbert Knarr (Stuttgart)
On the existence of O’Nan configurations in ovoidal Buekenhout-Metz unitals in \(\mathrm{PG}(2, q^2)\). (English) Zbl 1418.05044
Heden’s bound on the tail of a vector space partition. (English) Zbl 1407.51005
Reviewer: Daniele Bartoli (Perugia)
MSC:
51E23
On Segre’s lemma of tangents. (English) Zbl 1401.51008
Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 68, 11-16 (2018).
Maps related to polar spaces preserving a Weyl distance or an incidence condition. (English) Zbl 1394.05142
A Wilbrink-like equation for neo-difference sets. (English) Zbl 1409.51004
Reviewer: Hubert Kiechle (Hamburg)
Codes arising from incidence matrices of points and hyperplanes in \(\mathrm{PG}(n, q)\). (English) Zbl 1426.94163
Unitals in shift planes of odd order. (English) Zbl 1372.51002
Reviewer: Gernot Stroth (Halle)
MSC:
51A35
Minimum size blocking sets of certain line sets related to a conic in \(\mathrm{PG}(2, q)\). (English) Zbl 1338.51009
MSC:
51E21
Open problems in finite projective spaces. (English) Zbl 1308.51001
Reviewer: Steven T. Dougherty (Scranton)
An outline of polar spaces: basics and advances. (English) Zbl 1342.51005
Narasimha Sastry, N.S. (ed.), Groups of exceptional type, Coxeter groups and related geometries. Invited articles based on the presentations at the international conference on “Groups and geometries”, Bangalore, India, December 10–21, 2012. New Delhi: Springer (ISBN 978-81-322-1813-5/hbk; 978-81-322-1814-2/ebook). Springer Proceedings in Mathematics & Statistics 82, 41-74 (2014).
Reviewer: Rolf Riesinger (Wien)
The use of valuations for classifying point-line geometries. (English) Zbl 1338.51005
Narasimha Sastry, N.S. (ed.), Groups of exceptional type, Coxeter groups and related geometries. Invited articles based on the presentations at the international conference on “Groups and geometries”, Bangalore, India, December 10–21, 2012. New Delhi: Springer (ISBN 978-81-322-1813-5/hbk; 978-81-322-1814-2/ebook). Springer Proceedings in Mathematics & Statistics 82, 27-40 (2014).
On the stability of sets of even type. (English) Zbl 1337.51003
Reviewer: Basri Çelik (Nilüfer-Bursa)
MSC:
51E20
Isometric embeddings between the near polygons \(\mathbb{H}_n\) and \(\mathbb{G}_n\). (English) Zbl 1295.05072
On unitals in \(\mathrm{PG}(2,q^2)\) stabilized by a homology group. (English) Zbl 1296.51010
Reviewer: Metod Saniga (Tatranská Lomnica)
Book spreads in \(\mathrm{PG}(7,2)\). (English) Zbl 1295.51013
MSC:
51E21
On the structure of the Figueroa unital and the existence of O’Nan configurations. (English) Zbl 1295.51012
Non-classical polar unitals in finite Dickson semifield planes. (English) Zbl 1302.51003
Reviewer: Süleyman Çiftçi (Bursa)
Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces. (English) Zbl 1284.51004
MSC:
51A45
The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\). (English) Zbl 1288.51004
Reviewer: Guglielmo Lunardon (Napoli)
Unique reducibility of multiple blocking sets. (English) Zbl 1275.51003
Reviewer: Leo Storme (Gent)
Extremal sizes of subspace partitions. (English) Zbl 1255.51008
Reviewer: Daniele Bartoli (Perugia)
A geometric proof of a theorem on antiregularity of generalized quadrangles. (English) Zbl 1257.51003
Reviewer: Leo Storme (Gent)
A decomposition of the universal embedding space for the near polygon \({{\mathbb H}_n}\). (English) Zbl 1244.51002
Reviewer: Rolf Riesinger (Wien)
On invariant notions of Segre varieties in binary projective spaces. (English) Zbl 1242.05046
Reviewer: Steven T. Dougherty (Scranton)
Unitals in PG\((2,q^2)\) with a large 2-point stabiliser. (English) Zbl 1238.51004
Reviewer: Günter F. Steinke (Christchurch)
The minimum size of a finite subspace partition. (English) Zbl 1223.51011
Reviewer: Alexandre A. Makhnev (Ekaterinburg)
Bounded distance preserving surjections in the projective geometry of matrices. (English) Zbl 1221.15039
Reviewer: Bojan Kuzma (Ljubljana)
Non-Abelian representations of the slim dense near hexagons on 81 and 243 points. (English) Zbl 1209.51002
Reviewer: Steven T. Dougherty (Scranton)
MSC:
51E14
2-spreads and transitive and orthogonal 2-parallelisms of \(PG(5, 2)\). (English) Zbl 1227.51003
Reviewer: Basri Çelik (Nilüfer-Bursa)
On codewords in the dual code of classical generalised quadrangles and classical polar spaces. (English) Zbl 1226.94016
Linear sets in finite projective spaces. (English) Zbl 1228.51008
MSC:
51E15
A remark on symplectic spreads. (English) Zbl 1204.51005
Reviewer: Alexandre A. Makhnev (Ekaterinburg)
Covering all points except one. (English) Zbl 1204.51014
Reviewer: Basri Çelik (Nilüfer-Bursa)
MSC:
51E21
On hyperovals of polar spaces. (English) Zbl 1204.51006
Reviewer: Alexandre A. Makhnev (Ekaterinburg)
MSC:
51A50
The valuations of the near octagon \(\mathbb G_4\). (English) Zbl 1200.51005
Reviewer: L. -c. Chen
MSC:
51E12
On geometric SDPS-sets of elliptic dual polar spaces. (English) Zbl 1194.51008
Reviewer: Hendrik Van Maldeghem (Gent)
Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\). (English) Zbl 1185.51008
Reviewer: Theo Grundhöfer (Würzburg)
On symplectic polar spaces over non-perfect fields of characteristic 2. (English) Zbl 1193.51003
Reviewer: Richard Bödi (Rüschlikon)
MSC:
51A50
The dimensions of \(LU(3,q)\) codes. (English) Zbl 1169.94015
Reviewer: Juan Tena Ayuso (Valladolid)
On the order of a non-abelian representation group of a slim dense near hexagon. (English) Zbl 1226.05269
Line spreads of \(PG(5, 2)\). (English) Zbl 1177.51006
Reviewer: Johann Lang (Graz)
MSC:
51E23
The hyperplanes of \(DW(5,2^h)\)which arise from embedding. (English) Zbl 1160.51006
Reviewer: József Szilasi (Debrecen)
MSC:
51A50
On the simple connectedness of hyperplane complements in dual polar spaces. (English) Zbl 1160.51004
Reviewer: József Szilasi (Debrecen)
The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\). (English) Zbl 1178.05079
Reviewer: Vito Napolitano (Napoli)
A recursive construction for the dual polar spaces \(DQ(2n,2)\). (English) Zbl 1160.51005
Reviewer: József Szilasi (Debrecen)
MSC:
51A50
New constructions of two slim dense near hexagons. (English) Zbl 1155.51003
Reviewer: József Szilasi (Debrecen)
MSC:
51E12
Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding. (English) Zbl 1160.51003
Reviewer: Norbert Knarr (Gießen)
The hyperplanes of \(DH(5, q^{2})\). (English) Zbl 1158.51002
Reviewer: Süleyman Çiftçi (Bursa)
Diameter preserving surjections in the geometry of matrices. (English) Zbl 1144.05045
Reviewer: Pavel Burda (Ostrava)
The structure of the spin-embeddings of dual polar spaces and related geometries. (English) Zbl 1146.51003
Reviewer: Richard Bödi (Rüschlikon)
MSC:
51A50
Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\)). (English) Zbl 1139.51009
Reviewer: Pavel Burda (Ostrava)
The valuations of the near octagon \({\mathbb{H}}_4\). (English) Zbl 1146.51004
Reviewer: Theo Grundhöfer (Würzburg)
The permutation action of finite symplectic groups of odd characteristic on their standard modules. (English) Zbl 1140.20035
Reviewer: Michael Bate (Oxford)
The generating rank of the \(U_{4}(3)\) near hexagon. (English) Zbl 1128.51001
Reviewer: Richard Bödi (Rüschlikon)
Hyperplanes of \(DW(2n-1,q)\), \(q\neq 2\), without ovoidal quads. (English) Zbl 1128.51002
Reviewer: Richard Bödi (Rüschlikon)
Minimal scattered sets and polarized embeddings of dual polar spaces. (English) Zbl 1126.51004
Reviewer: Hendrik Van Maldeghem (Gent)
Dense near octagons with four points on each line. II. (English) Zbl 1126.51006
Reviewer: Richard Bödi (Rüschlikon)
The exceptional hyperplanes of \(DH(5,4)\). (English) Zbl 1132.51004
Reviewer: Pavel Burda (Ostrava)
A general theory for dense near polygons with a nice chain of subpolygons. (English) Zbl 1132.51003
Reviewer: Pavel Burda (Ostrava)
A characterization of the SDPS-hyperplanes of dual polar spaces. (English) Zbl 1143.51004
Reviewer: Harm Pralle (Braunschweig)
MSC:
51A50
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