Large localizations of finite groups.

DOI10.1016/j.jalgebra.2008.09.025zbMath1201.20052arXiv0810.1632OpenAlexW2151110265MaRDI QIDQ2378605

Adam J. Przeździecki

Publication date: 13 January 2009

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

Full work available at URL: https://arxiv.org/abs/0810.1632

zbMATH Keywords

finite simple groupscategories of groupslocalizationsMathieu group \(M_{11}\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Localization and completion in homotopy theory (55P60) Groups acting on trees (20E08) Category of groups (20J15)

Related Items

An ``almost full embedding of the category of graphs into the category of groups, Cellular covers of local groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-simple localizations of finite simple groups.
• Cardinality and nilpotency of localizations of groups and \(G\)-modules
• A note on the localization of finite groups
• Large E-rings exist
• CONSTRUCTING SIMPLE GROUPS FOR LOCALIZATIONS
• Large localizations of finite simple groups
• Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
• A note on localizations of perfect groups
• The endomorphism ring of the additive group of a ring