Ultraproducts of quasirandom groups with small cosocles

DOI10.1515/jgth-2016-0012zbMath1367.20011OpenAlexW2327999441MaRDI QIDQ338565

Yilong Yang

Publication date: 7 November 2016

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

Full work available at URL: https://doi.org/10.1515/jgth-2016-0012

zbMATH Keywords

ultraproductalmost periodic groupcosoclemaximal normal subgroupquasisimple group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Maximal subgroups (20E28) Simple groups (20E32) Finite simple groups and their classification (20D05) Ultraproducts and related constructions (03C20)

Related Items (4)

Contributions to the Bohr topology by W.W. Comfort ⋮ On compactifications and product‐free sets ⋮ Finite quotients of ultraproducts of finite perfect groups ⋮ Triangles in Cartesian Squares of Quasirandom Groups

Cites Work

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• Groups without faithful transitive permutation representations of small degree
• Multiple recurrence in quasirandom groups
• On the Bohr compactification
• Compact Lie Groups
• Quasirandom Groups
• Triangles in Cartesian Squares of Quasirandom Groups
• Finite simple groups as expanders
• On the lattice of normal subgroups in ultraproducts of compact simple groups
• On Jordan's theorem for complex linear groups

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