A note on groups generated by involutions and sharply 2-transitive groups

DOI10.1090/S0002-9939-2014-12405-1zbMath1317.20046OpenAlexW1998595886MaRDI QIDQ5179375

George Glauberman, Avinoam Mann, Yoav Segev

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12405-1

zbMATH Keywords

involutionsinfinite permutation groupsunions of conjugacy classessharply 2-transitive groupsdihedral subgroupsGlauberman Z*-theorem

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other matrix groups over fields (20H20) Multiply transitive infinite groups (20B22)

Related Items

Infinite sharply multiply transitive groups., A sharply 2-transitive group without a non-trivial abelian normal subgroup, Simple sharply 2-transitive groups, Non-split linear sharply 2-transitive groups

Cites Work

• A sharply 2-transitive group without a non-trivial abelian normal subgroup
• Central elements in core-free groups
• Distributive Quasigruppen endlicher Ordnung
• Sharply 2-Transitive Linear Groups
• On conjugacy classes of p-elements
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