Centralizers of Subgroups in Direct Limits of Symmetric Groups with Strictly Diagonal Embedding

DOI10.1080/00927872.2013.879657zbMath1330.20055OpenAlexW2035874229MaRDI QIDQ5256713

Otto H. Kegel, Ülviye Büşra Güven, Mahmut Kuzucuoǧlu

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.879657

zbMATH Keywords

simple groupscentralizers of finite subgroupsnonlinear groupslocally finite permutation groupsdirect limits of symmetric groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) General theory for infinite permutation groups (20B07) Local properties of groups (20E25) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items

On subgroups normalized by the base group in monomial groups, and their centralizers ⋮ Unnamed Item ⋮ Homogeneous monomial groups and centralizers ⋮ Normalizers of finite subgroups in homogenous symmetric groups and automorphisms

Cites Work

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• On groups of even order
• Uncountable universal locally finite groups
• Direct limits of symmetric and alternating groups with strictly diagonal embeddings
• Some Constructions for Locally Finite Groups
• Centralizers of Elements in Locally Finite Simple Groups

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