Pronormality of Hall subgroups in finite simple groups

被引：0

作者：

E. P. Vdovin

D. O. Revin

机构：

[1] Sobolev Institute of Mathematics and Novosibirsk State University,

来源：

Siberian Mathematical Journal | 2012年 / 53卷 / 3期

关键词：

Hall subgroup; pronormal subgroup; simple group;

D O I：

10.1134/S0037446612020231

中图分类号：

学科分类号：

摘要：

We prove that the Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of the Kourovka Notebook.

引用

页码：419 / 430

页数：11

共 50 条

[41] HALL SUBGROUPS OF CERTAIN FAMILIES OF FINITE GROUPS
SPITZNAG.EL
MATHEMATISCHE ZEITSCHRIFT, 1967, 97 (04) : 259 - &
[42] NORMAL HALL SUBGROUPS OF FINITE-GROUPS
ASAAD, M
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1983, 14 (12): : 1531 - 1533
[43] A CONJUGACY CRITERION FOR HALL SUBGROUPS IN FINITE GROUPS
Vdovin, E. P.
Revin, D. O.
SIBERIAN MATHEMATICAL JOURNAL, 2010, 51 (03) : 402 - 409
[44] Finite groups with Hall supplements to primitive subgroups
V. S. Monakhov
Siberian Mathematical Journal, 2007, 48 : 288 - 294
[45] FORMATIONS AND HALL SUBGROUPS OF FINITE SOLUBLE GROUPS
BLESSENOHL, D
MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (03) : 299 - 300
[46] ON INTERSECTIONS OF π-HALL SUBGROUPS IN FINITE Dπ-GROUPS
Zenkov, V., I
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (04) : 720 - 722
[47] On hall subnormally embedded subgroups of finite groups
Adolfo Ballester-Bolinches
John Cossey
ShouHong Qiao
Monatshefte für Mathematik, 2016, 181 : 753 - 760
[48] An existence criterion for Hall subgroups of finite groups
Revin, Danila O.
Vdovin, Evgeny P.
JOURNAL OF GROUP THEORY, 2011, 14 (01) : 93 - 101
[49] Finite groups with Hall supplements to primitive subgroups
Monakhov, V. S.
SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (02) : 288 - 294
[50] ON HALL NORMALLY EMBEDDED SUBGROUPS OF FINITE GROUPS
Li, Shirong
He, Jun
Nong, Guoping
Zhou, Longqiao
COMMUNICATIONS IN ALGEBRA, 2009, 37 (09) : 3360 - 3367

← 1 2 3 4 5 →