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.

引用

页码：223 / 228

页数：6

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