The Structure of Groups Possessing Carter Subgroups of Odd Order

被引：2

作者：

Vdovin, E. P. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2015年 / 54卷 / 02期

关键词：

group; Carter subgroup of odd order; composition factor of group; solvable group; HALL SUBGROUPS; EXISTENCE;

D O I：

10.1007/s10469-015-9330-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a group G contain a Carter subgroup of odd order. It is shown that every composition factor of G either is Abelian or is isomorphic to L (2)(3(2n + 1)), n a parts per thousand yenaEuro parts per thousand 1. Moreover, if 3 does not divide the order of a Carter subgroup, then G solvable.

引用

页码：105 / 107

页数：3

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