Found 73 Documents (Results 1–73)
Cyclical elementary nets. (Russian. English summary) Zbl 1446.20072
\(k\)-invariant nets over an algebraic extension of a field \(k\). (English. Russian original) Zbl 1400.20051
Sib. Math. J. 58, No. 1, 109-112 (2017); translation from Sib. Mat. Zh. 58, No. 1, 143-147 (2017).
An elementary net associated with the elementary group. (Russian. English summary) Zbl 1499.20116
The normalizer of the elementary net group associated with a nonsplit torus in the general linear group over a field. (English. Russian original) Zbl 1323.20038
J. Math. Sci., New York 209, No. 4, 549-554 (2015); translation from Zap. Nauchn. Semin. POMI 423, 105-112 (2014).
Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring. (English. Russian original) Zbl 1311.20048
J. Math. Sci., New York 201, No. 4, 458-464 (2014); translation from Fundam. Prikl. Mat. 18, No. 1, 75-84 (2013).
Parabolic subgroups of linear groups and the Vershik-Kerov group over \(\mathbb F_2\). (English) Zbl 1303.20055
Closed nets in linear groups. (English. Russian original) Zbl 1273.20047
Vestn. St. Petersbg. Univ., Math. 46, No. 1, 14-21 (2013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2013, No. 1, 26-34 (2013).
Decomposition of transvection in elementary group. (Russian. English summary) Zbl 1522.20094
Transvections in subgroups of the general linear group containing a nonsplit maximal torus. (English. Russian original) Zbl 1202.20047
St. Petersbg. Math. J. 21, No. 5, 731-742 (2010); translation from Algebra Anal. 21, No. 5, 70-86 (2009).
Loops, Latin squares and strongly regular graphs: an algorithmic approach via algebraic combinatorics. (English) Zbl 1186.05036
Klin, Mikhail (ed.) et al., Algorithmic algebraic combinatorics and Gröbner bases. Dordrecht: Springer (ISBN 978-3-642-01959-3/hbk; 978-3-642-01960-9/ebook). 3-65 (2009).
Reviewer: Fabio Scarabotti (Roma)
Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring. II. (English. Russian original) Zbl 1178.20047
J. Math. Sci., New York 156, No. 6, 901-917 (2009); translation from Zap. Nauchn. Semin. POMI 356, 85-117 (2008).
Overgroups of the diagonal group in the hyperbolic unitary group over a simple Artin ring. I. (Russian, English) Zbl 1120.20053
Zap. Nauchn. Semin. POMI 338, 155-172 (2006); translation in J. Math. Sci., New York 145, No. 1, 4781-4789 (2007).
Subgroups of unitriangular groups of infinite matrices. (Russian, English) Zbl 1123.20039
Zap. Nauchn. Semin. POMI 338, 137-154 (2006); translation in J. Math. Sci., New York 145, No. 1, 4773-4780 (2007).
Overdiagonal subgroups of the hyperbolic unitary group for a good form ring over a skew field. (English. Russian original) Zbl 1144.20315
J. Math. Sci., New York 130, No. 3, 4712-4719 (2005); translation from Zap. Nauchn. Semin. POMI 305, 121-135 (2003).
Subgroups of the orthogonal groups of even degree over a local field. (Russian, English) Zbl 1082.20027
Zap. Nauchn. Semin. POMI 321, 240-250 (2005); translation in J. Math. Sci., New York 136, No. 3, 3966-3971 (2006).
The theorem of Borevich for the hyperbolic unitary group over a noncommutative field. (Russian, English) Zbl 1110.20039
Zap. Nauchn. Semin. POMI 321, 136-167 (2005); translation in J. Math. Sci., New York 136, No. 3, 3880-3907 (2006).
Overgroups of certain subgroups of the linear group over a local ring. (Chinese. English summary) Zbl 1083.20041
Subgroups containing a torus and related to the quotient field of a factorial ring. (Russian) Zbl 1081.20055
Reviewer: M. A. Grechkoseeva (Novosibirsk)
On overdiagonal subgroups of the hyperbolic unitary group for a skew field. (English. Russian original) Zbl 1070.20059
J. Math. Sci., New York 124, No. 1, 4766-4791 (2004); translation from Zap. Nauchn. Semin. POMI 289, 154-206 (2002).
Parabolic subgroups of Vershik-Kerov’s group. (English) Zbl 1012.20048
Reviewer: Zongzhu Lin (Manhattan)
Subgroups of split orthogonal groups over a commutative ring. (English. Russian original) Zbl 1080.20046
J. Math. Sci., New York 120, No. 4, 1501-1512 (2004); translation from Zap. Nauchn. Semin. POMI 281, 35-59 (2001).
Subgroups of the general linear group over a local field. (English. Russian original) Zbl 1069.20037
J. Math. Sci., New York 116, No. 1, 3018-3026 (2003); translation from Zap. Nauchn. Semin. POMI 272, 242-258 (2000).
Decomposition of transvections: A theme with variations. (English) Zbl 0944.20031
Reviewer: W.van der Kallen (Utrecht)
Generalized congruence subgroups of Chevalley groups. (English. Russian original) Zbl 0930.20046
Sib. Math. J. 40, No. 2, 291-304 (1999); translation from Sib. Mat. Zh. 40, No. 2, 336-351 (1999).
Reviewer: K.N.Ponomarev (Novosibirsk)
A fibered effect in a sublattice of subgroups containing an unsplittable torus for the field of rational numbers. (English. Russian original) Zbl 1050.20504
Vestn. St. Petersbg. Univ., Math. 31, No. 1, 14-16 (1998); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1998, No. 1, 16-18 (1998).
Form nets and the lattice of overdiagonal subgroups of the symplectic group over a field of characteristic two. (English. Russian original) Zbl 0927.20028
St. Petersbg. Math. J. 10, No. 4, 651-661 (1999); translation from Algebra Anal. 10, No. 4, 113-129 (1998).
Reviewer: Li Fuan (Beijing)
On net subgroups in the hyperbolic unitary group. (English. Russian original) Zbl 0897.20036
St. Petersbg. Math. J. 9, No. 4, 725-731 (1998); translation from Algebra Anal. 9, No. 4, 79-86 (1997).
Reviewer: Li Fuan (Beijing)
On subgroups in the special linear group over a division algebra that contain the subgroup of diagonal matrices. (English) Zbl 0881.20023
Reviewer: Li Fuan (Beijing)
On subgroups of the general linear group over a commutative von Neumann regular ring. (English) Zbl 0900.20084
Subgroups of the isotropic orthogonal group containing the centralizer of a maximal split torus. (Russian) Zbl 0769.20020
Subgroups of isotropic orthogonal groups containing the centralizer of a maximal split torus. (English. Russian original) Zbl 0783.20024
J. Sov. Math. 63, No. 6, 653-655 (1993); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 191, 76-79 (1991).
Subgroups of \(\mathrm{GL}(2,\mathbb Q)\) containing a nonsplit maximal torus. (English. Russian original) Zbl 0721.20032
Sov. Math., Dokl. 41, No. 3, 414-416 (1990); translation from Dokl. Akad. Nauk SSSR 312, No. 1, 36-38 (1990).
Reviewer: A. Kondrat’ev (Sverdlovsk)
Configuration of subgroups in the special linear group over a skew field with infinite center. (English. Russian original) Zbl 0791.20053
J. Sov. Math. 57, No. 6, 3449-3452 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 5-11 (1989).
Die untere Zentralreihe und die Kommutatorreihe einer Netzuntergruppe über einem semilokalen Ring. (The lower central series and the derived series of a net subgroup over a semilocal ring). (German) Zbl 0734.20024
Wiss. Z. Pädagog. Hochsch. Dr. Theodor Neubauer Erfurt/Mühlhausen, Math.-Naturwiss. Reihe 25, No. 2, 103-108 (1989).
Subgroups of the general linear group over rings that satisfy stability conditions. (English. Russian original) Zbl 0702.20033
Sov. Math. 33, No. 10, 23-31 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No. 10(329), 19-25 (1989).
On subgroups of the general linear group over a ring satisfying stability conditions. (Russian) Zbl 0692.20034
Reviewer: Li Fuan
Subgroups of split orthogonal groups. (English. Russian original) Zbl 0667.20036
Sib. Math. J. 29, No. 3, 341-352 (1988); translation from Sib. Mat. Zh. 29, No. 3(169), 12-25 (1988).
Normalizers of intermediate subgroups in the general linear group over a ring. (English. Russian original) Zbl 0653.20047
Vestn. Leningr. Univ., Math. 21, No. 1, 1-4 (1988); translation from Vestn. Leningr. Univ., Ser. I 1988, No. 1, 6-8 (1988).
On normalizers of intermediate subgroups in the general linear group over a ring. (Russian) Zbl 0647.20048
Reviewer: V.Yanchevskij
On the subgroups of split orthogonal groups. (Russian) Zbl 0647.20043
Reviewer: V.Yanchevskij
On subgroups of the general linear group over a Dedekind ring of arithmetic type. (English. Russian original) Zbl 0651.20049
Sov. Math. 31, No. 12, 16-24 (1987); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 31, No. 12(307), 14-20 (1987).
Reviewer: Li Fuan
Location of subgroups in the general linear group over a commutative ring. (English. Russian original) Zbl 0653.20048
Proc. Steklov Inst. Math. 165, 27-46 (1985); translation from Tr. Mat. Inst. Steklova 165, 24-42 (1984).
Subgroups of a special linear group, containing a group of diagonal matrices. I. (English. Russian original) Zbl 0594.20033
Vestn. Leningr. Univ., Math. 18, No. 4, 3-7 (1985); translation from Vestn. Leningr. Univ. 1985, No. 22, Mat. Mekh. Astron. No. 4, 3-7 (1985).
Reviewer: A.Zalesskij
Definition of a net subgroup. (English) Zbl 0565.20025
On subgroups of the general linear group \(GL_ n(R)\) over an associative ring R. (English. Russian original) Zbl 0572.20031
Russ. Math. Surv. 39, No. 1, 157-158 (1984); translation from Usp. Mat. Nauk 39, No. 1(235), 125-126 (1984).
Reviewer: H.Ren
On net subgroups of twisted Chevalley groups. (Russian) Zbl 0562.20019
Reviewer: A.Zalesskij
Subgroups of the full linear group over a semilocal ring that contain the group of block-diagonal matrices. (English) Zbl 0552.20037
Determinants in net subgroups. (English) Zbl 0552.15002
On the definition of a net subgroup. (Russian) Zbl 0537.20022
Reviewer: G.A.Noskov
Subgroups of the general linear group over a ring that contain the group of block-triangular matrices. II. (English. Russian original) Zbl 0532.20027
Vestn. Leningr. Univ., Math. 15, 127-132 (1983); translation from Vestn. Leningr. Univ. 1982, No. 13, Mat. Mekh. Astron. No. 3, 5-9 (1982).
Reviewer: A.G.Elashvili
On the group \(\mathrm{SL}_n\) over a Dedekind domain of arithmetic type. (Russian. English summary) Zbl 0517.20026
Reviewer: Vyacheslav Yanchevskiĭ (Minsk)
Subgroups of the general linear group over a semi-local ring containing the group of block-diagonal matrices. (Russian) Zbl 0509.20035
The distribution of subgroups containing a group of block diagonal matrices in the general linear group over a ring. (English) Zbl 0521.20033
On the subgroups of the full linear group over a commutative ring. (English. Russian original) Zbl 0521.20031
Sov. Math., Dokl. 26, 679-681 (1982); translation from Dokl. Akad. Nauk SSSR 267, 777-778 (1982).
On subgroups of the unitary group over a semilocal ring. (English. Russian original) Zbl 0521.20029
Russ. Math. Surv. 37, No. 4, 145-146 (1982); translation from Usp. Mat. Nauk 37, No. 4(226), 147-148 (1982).
On the subnormalizer of net subgroups in the general linear group over a ring. (Russian) Zbl 0514.20034
Ordering of subgroups, containing a group of block-diagonal matrices, in the general linear group over a ring. (Russian) Zbl 0512.20031
Net subgroups of Chevalley groups. II: The Gauss decomposition. (Russian) Zbl 0499.20033
Reviewer: A. V. Zelevinsky (Moskva)
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