ON THE SUBNORMALIZER OF A P-SUBGROUP

被引：3

作者：

CASOLO, C

机构：

[1] Dipartimento di Matematica e Informatica, Università di Udine, I-33100 Udine, Via Zanon

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1992年 / 77卷 / 03期

关键词：

D O I：

10.1016/0022-4049(92)90139-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a subgroup of the finite group G and let S(G)(H) be the set of all elements g of G such that H is subnormal in <H, g>. We prove a formula for the order of S(G)(H) when H is a p-subgroup for sonic prime p.

引用

页码：231 / 238

页数：8

共 6 条

[1] SUBNORMALIZERS IN FINITE-GROUPS [J].

CASOLO, C .

COMMUNICATIONS IN ALGEBRA, 1990, 18 (11) :3791-3818

[2] ON THE MOBIUS FUNCTION OF A FINITE-GROUP [J].

HAWKES, T ;

ISAACS, IM ;

OZAYDIN, M .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1989, 19 (04) :1003-1034

[3]

Lennox J.C., 1987, SUBNORMAL SUBGROUPS

[4] HOMOTOPY PROPERTIES OF POSET OF NONTRIVIAL PARA-SUBGROUPS OF A GROUP [J].

QUILLEN, D .

ADVANCES IN MATHEMATICS, 1978, 28 (02) :101-128

[5]

QUILLEN D, 1973, LECTURE NOTES MATH, V341

[6]

Rota G.-C., 1964, Z WAHRSCHEINLICHKEIT, V2, P340, DOI DOI 10.1007/BF00531932

← 1 →