Boolean powers of groups
A. B. Apps
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Source: Crossref
Published: May 1, 1982
DOI: 10.1017/s0305004100059442
Open original source ↗Source 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 M R , 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.
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