On Some Variants of Theorems of Schur and Baer

被引:0
|
作者
Martyn R. Dixon
Leonid A. Kurdachenko
Aleksander A. Pypka
机构
[1] University of Alabama,Department of Mathematics
[2] National University of Dnepropetrovsk,Department of Algebra, Facultet of mathematic and mechanik
来源
Milan Journal of Mathematics | 2014年 / 82卷
关键词
Primary 20F14; Secondary 20F28; central factor group; automorphism; hypercentre;
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学科分类号
摘要
A well-known theorem of I. Schur states that if G is a group and G/ζ(G) is finite then G′ is finite. We obtain an analogue of this, and theorems due to R. Baer and P. Hall, for groups G that have subgroups A of Aut(G) such that A/Inn(G) is finite.
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页码:233 / 241
页数:8
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