Boolean powers of groups

DOI10.1017/S0305004100059442zbMath0497.20017MaRDI QIDQ3961648

A. B. Apps

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

indecomposable groupscharacteristic subgroupsproducts of Boolean powersautomorphisms of Boolean powers of groupsBoolean powers of simple groupssimple Boolean rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Series and lattices of subgroups (20D30) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (8)

Bjarni Jónsson's contributions in algebra ⋮ Homogeneous structures: model theory meets universal algebra. Abstracts from the workshop held January 3--9, 2021 (online meeting) ⋮ Characteristically simple ℵ₀-categorical groups ⋮ On the number of countable subdirect powers of unary algebras ⋮ On ω-categorical groups and their completions ⋮ Varieties having Boolean factor congruences ⋮ On automorphisms of relatively free groups ⋮ On the structure of \(\aleph_0\)-categorical groups

Cites Work

• The structure of countable Boolean algebras
• Functional completeness in the small. Algebraic structure theorems and identities
• Boolean powers
• On isomorphism types of groups and other algebraic systems
• Boolean Powers: Direct Decomposition and Isomorphism Types

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