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.
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页码：414 / 417
页数：4
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