Boolean powers of groups

Author:

Apps A. B.

Abstract

If M is any algebraic structure, and R is any Boolean ring, then a structure called the (bounded) Boolean power of M by R, denoted MR, can be defined. This construction, which is also called a bounded Boolean extension, is a sort of generalized direct power, and was introduced by Foster in the 1950's (as a refinement of his previous notion of a Boolean extension). In this paper we shall study isomorphism types and automorphisms of Boolean powers of groups, and obtain information about their characteristic subgroups: we shall be chiefly concerned with Boolean powers of finite groups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the number of countable subdirect powers of unary algebras;International Journal of Algebra and Computation;2023-08-12

2. On ω-categorical groups and their completions;Journal of Group Theory;2010-01

3. The Small Index Property for Free Groups and Relatively Free Groups;Journal of the London Mathematical Society;1997-04

4. Bjarni J�nsson's contributions in algebra;Algebra Universalis;1994-09

5. On automorphisms of relatively free groups;Journal of Algebra;1991-02

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