On ω-categorical groups and their completions

DOI10.1515/JGT.2009.041zbMath1202.20035arXiv0811.0070OpenAlexW2104964152MaRDI QIDQ3552311

Alexandre A. Ivanov

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0070

zbMATH Keywords

profinite completionsresidually finite groupslocally compact groups\(\omega\)-categorical groupscofinality of groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Compact groups (22C05) Limits, profinite groups (20E18) Model theory of denumerable and separable structures (03C15)

Cites Work

• Totally categorical groups and rings
• Locally finite groups with all subgroups normal-by-(finite rank)
• On the structure of \(\aleph_0\)-categorical groups
• \(\aleph_0\)-categoricity of groups
• On the structure of standard wreath products of groups
• Small profinite groups
• Two Combinatorial Problems in Group Theory
• ABSOLUTELY UBIQUITOUS STRUCTURES AND N₀-CATEGORICAL GROUPS
• Infinite products of finite simple groups
• Boolean powers of groups
• ℵ₀-categorical modules
• Soluble omega-categorical groups
• Supersimple ω-categorical groups and theories
• Closures in ℵ₀-categorical bilinear maps

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