Maximal Solvable Subgroups of Odd Index in Symmetric Groups

被引：2

作者：

Korotitskii, K. Yu. ^{[1
,2
]}

Revin, D. O. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia

[2] Novosibirsk State Univ, Ul Pirogova 1, Novosibirsk 630090, Russia

[3] Sobolev Inst Math, Pr Akad Koptyuga 4, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2020年 / 59卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

symmetric group; solvable group; PRIMITIVE PERMUTATION-GROUPS; FINITE-GROUPS; CLASSIFICATION;

D O I：

10.1007/s10469-020-09585-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Maximal solvable subgroup subgroup of odd index. Maximal solvable subgroups of odd index in symmetric groups are classified up to conjugation.

引用

页码：114 / 128

页数：15

共 21 条

[1]

[Anonymous], 1972, MATRIX GROUPS

[2]

[Anonymous], 1982, FUNDAMENTALS GROUP T

[3] ON FINITE-GROUPS OF LIE TYPE AND ODD CHARACTERISTIC [J].

ASCHBACHER, M .

JOURNAL OF ALGEBRA, 1980, 66 (02) :400-424

[4]

Dixon J. D., 1996, GRAD TEXTS MATH, V163

[5]

Galois E., 1846, J MATH PURE APPL, V11, P417

[6] MAXIMAL AND SUBMAXIMAL x-SUBGROUPS [J].

Guo, W. ;

Revin, D. O. .

ALGEBRA AND LOGIC, 2018, 57 (01) :9-28

[7]

Guo WB, 2018, COMMUN MATH STAT, V6, P289, DOI 10.1007/s40304-018-0154-9

[8]

Huppert B., 1967, GRUNDL MATH WISSENSC, V134

[9]

Jordan C., 1870, TRAITE SUBSTITUTIONS

[10]

Jordan M., 1865, COMPTES RENDUS, V60, P770

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