COMMUTATOR CONDITIONS AND SPLITTING AUTOMORPHISMS FOR STABLE GROUPS

被引：4
|
作者：
WAGNER, FO [1 ]
机构：
[1] UNIV FREIBURG,INST MATH LOG,W-7800 FREIBURG,GERMANY
来源：
ARCHIVE FOR MATHEMATICAL LOGIC | 1993年 / 32卷 / 03期
关键词：
D O I：
10.1007/BF01375553
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a stable group G satisfying certain commutator conditions is nilpotent. Furthermore, a soluble stable group with generically splitting automorphism of prime order is nilpotent-by-finite. In particular, a soluble stable group with a generic element of prime order is nilpotent-by-finite.
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页码：223 / 228
页数：6
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