Some topological properties of residually Černikov groups

DOI10.1017/S0017089500004791zbMath0474.20017OpenAlexW1971980361MaRDI QIDQ3929924

Martyn R. Dixon

Publication date: 1982

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500004791

zbMATH Keywords

Chernikov Sylow p-subgroupsdense subgroup of pro-Chernikov groupinverse limit of Chernikov groupslocally finite-soluble groupsresidually Chernikov groupSylow theory for pro-Chernikov groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (5)

Sylow subgroups of groups with Černikov conjugacy classes ⋮ Fitting classes of CC-groups ⋮ Formation theory in locally finite groups satisfying min-p for all primes p ⋮ Locally inner automorphisms of CC-groups ⋮ Central-by-Chernikov groups are compact co-Chernikov CC-groups.

Cites Work

• Unnamed Item
• The verbal topology of a group
• Some Sylow subgroups
• The Local Conjugacy of Some Sylow Bases in a Class of Locally Finite Groups
• Locally Finite Groups with Min-p for All p . I
• Lokal endlich-auflösbare Gruppen mit endlichen Sylowuntergruppen.
• Sylow Subgroups of Locally Finite Groups
• Groups Covered By Permutable Subsets

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