Periodic groups acting freely on abelian groups

被引：1

作者：

A. Kh. Zhurtov

D. V. Lytkina

V. D. Mazurov

A. I. Sozutov

机构：

[1] Kabardino-Balkarian State University,Institute of Mathematics

[2] Siberian State University of Telecommunications and Informatics,Sobolev Institute of Mathematics

[3] Siberian Branch of the Russian Academy of Sciences,Institute of Mathematics and Computer Science

[4] Siberian Federal University,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2014年 / 285卷

关键词：

periodic group; abelian group; free action; local finiteness;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let π be a set of primes. A periodic group G is called a π-group if all prime divisors of the order of each of its elements lie in π. An action of G on a nontrivial group V is called free if, for any υ ∈ V and g ∈ G such that υg = υ, either υ = 1 or g = 1. We describe {2, 3}-groups that can act freely on an abelian group.

引用

页码：209 / 215

页数：6

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