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：
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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.
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页码：209 / 215
页数：6
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