Algebraic structure of pseudocompact groups

DOI10.1090/memo/0633zbMath0907.22005OpenAlexW2054144799MaRDI QIDQ3840050

Dikran Dikranjan, Dmitrij B. Shakhmatov

Publication date: 2 March 1999

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0633

zbMATH Keywords

torsion groups pseudocompactness torsion-free groups free groups topological groups divisible groups free Abelian groups non-torsion groups pseudocompactifiable groups theory of varieties

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Compactness (54D30) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Free nonabelian groups (20E05) Connected and locally connected spaces (general aspects) (54D05) Residual properties and generalizations; residually finite groups (20E26) Torsion-free groups, infinite rank (20K20) Embedding (54C25) Consistency and independence results in general topology (54A35) Quasivarieties and varieties of groups (20E10) Torsion groups, primary groups and generalized primary groups (20K10) Ordinal and cardinal numbers (03E10) Topological methods for abelian groups (20K45)

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