Products of finite abelian groups as profinite groups

JOURNAL OF ALGEBRA

卷:288

Article

Krupinski, K

关键词: small profinite groups;    products of finite groups;   

DOI  :  10.1016/j.jalgebra.2005.01.011

来源: Elsevier

【 摘 要 】

We investigate products of finite abelian groups of bounded exponent as profinite structures in the sense of Newelski. In such groups we describe orbits under the action of the standard structural group of automorphisms. Then we conclude that such groups are small, m-normal and in-stable. Let X be a product of countably many finite abelian groups. We also investigate the influence of modifications of the standard structural group of X on its smallness, in-normality and in-stability. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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