Periodic groups acting freely on Abelian groups

被引：0
作者：
Lytkina D.V. [1 ]
机构：
[1] Novosibirsk State University, Novosibirsk 630090
来源：
Algebra and Logic | 2010年 / 49卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Abelian group; Local finiteness; Periodic group;
D O I：
10.1007/s10469-010-9094-5
中图分类号：
学科分类号：
摘要：
We describe {2, 3}-groups without elements of order 27, acting freely on an Abelian group. In particular, it is proved that such groups are locally finite. © 2010 Springer Science+Business Media, Inc.
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页码：256 / 261
页数：5
相关论文
共 3 条
[1]  
Jabara E., Mayr P., Frobenius complements of exponent dividing 2<sup>m</sup>· 9, Forum Math., 21, 2, pp. 217-220, (2009)
[2]  
Lytkina D.V., Tukhvatullina L.R., Filippov K.A., Periodic groups saturated by finite set of finite simple groups, Sib. Mat. Zh., 49, 2, pp. 395-400, (2008)
[3]  
Zhurtov A., Regular automorphisms of order 3 and Frobenius pairs, Sib. Mat. Zh., 41, 2, pp. 329-338, (2000)
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