The 2-minimal subgroups of symplectic groups

被引：1

作者：

Parker, Chris ^{[1
]}

Rowley, Peter ^{[2
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Univ Manchester, Dept Math, Oxford Rd, Manchester M13 6PL, Lancs, England

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/j.jpaa.2020.106643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a finite group G, a subgroup P of G is 2-minimal if B < P, where B = N-G(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. Here we give a detailed and explicit description of all the 2-minimal subgroups for finite symplectic groups defined over a field of odd characteristic. Crown Copyright (C) 2020 Published by Elsevier B.V. All rights reserved.

引用

页数：15

共 50 条

[41] ON π-SUBMAXIMAL SUBGROUPS OF MINIMAL NONSOLVABLE GROUPS
Zavarnitsine, A., V
Revin, D. O.
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (05) : 894 - 902
[42] ON MINIMAL SUBGROUPS OF FINITE-GROUPS
LI, SR
COMMUNICATIONS IN ALGEBRA, 1994, 22 (06) : 1913 - 1918
[43] Minimal subgroups and the structure of finite groups
Kang P.
Ricerche di Matematica, 2013, 62 (1) : 91 - 95
[44] SYMMETRIC-GROUPS AS MAXIMAL-SUBGROUPS OF ORTHOGONAL AND SYMPLECTIC GROUPS OVER THE FIELD OF 2 ELEMENTS
DYE, RH
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 20 (OCT): : 227 - 237
[45] FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H*-SUBGROUPS
Heliel, A. A.
Hijazi, Rola A.
Al-Obidy, Reem A.
INTERNATIONAL JOURNAL OF GROUP THEORY, 2014, 3 (03) : 1 - 11
[46] Some notes on the minimal subgroups of Fitting subgroups of finite groups
Li, YM
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 171 (2-3) : 289 - 294
[47] Finite groups all of whose minimal subgroups are NE∗-subgroups
YONGGANG LI
XIANGGUI ZHONG
Proceedings - Mathematical Sciences, 2014, 124 : 501 - 509
[48] The influence of minimal subgroups of focal subgroups on the structure of finite groups
Guo, XY
Shum, KP
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 169 (01) : 43 - 50
[49] SYMPLECTIC LIE GROUPS SYMPLECTIC REDUCTION, LAGRANGIAN EXTENSIONS, AND EXISTENCE OF LAGRANGIAN NORMAL SUBGROUPS
Baues, O.
Cortes, V.
ASTERISQUE, 2016, (379) : 1 - +
[50] Dehn twists and free subgroups of symplectic mapping class groups
Keating, Ailsa M.
JOURNAL OF TOPOLOGY, 2014, 7 (02) : 436 - 474

← 1 2 3 4 5 →