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.
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页码：105 / 107
页数：3
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