ON p-COMPLEMENTS OF FINITE GROUPS

被引：6

作者：

Buturlakin, A. A. ^{[1
]}

Revin, D. O.

机构：

[1] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2013年 / 10卷

基金：

俄罗斯基础研究基金会;

关键词：

finite group; p-complement;

D O I：

10.17377/semi.2013.10.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a finite group G is called a p-complement for a prime p, if the order of H is not divided by p and the index vertical bar G : H vertical bar is a power of p. We give examples of a finite group that possesses two nonisomorphic p-complements and of a finite group in which all p-complements are isomorphic but not conjugate in the automorphism group.

引用

页码：414 / 417

页数：4

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