A partial analogue of Borel's fixed point theorem for finite \(p\)-groups.

DOI10.1016/j.jalgebra.2015.11.012zbMath1339.20016OpenAlexW2253226774MaRDI QIDQ906872

George Glauberman

Publication date: 29 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.11.012

zbMATH Keywords

finite \(p\)-groupsnormal subgroupsaction by conjugationBorel fixed point theorem

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• \(p\)-groups with maximal elementary Abelian subgroups of rank 2.
• Limits of Abelian subgroups of finite \(p\)-groups
• Large Abelian subgroups of finite \(p\)-groups
• Large subgroups of small class in finite \(p\)-groups.
• Eigenvalues of a Laplacian and commutative Lie subalgebras
• A partial extension of Lazard's correspondence for finite \(p\)-groups.
• Existence of normal subgroups in finite \(p\)-groups.
• Centrally large subgroups of finite \(p\)-groups.
• A replacement theorem for \(p\)-groups and a conjecture
• 2-subnormal quadratic offenders and Oliver's p-group conjecture
• Endliche Gruppen I
• Introduction to Lie Algebras and Representation Theory
• Abelian subgroups of small index in finite p-groups
• Sur les groupes nilpotents et les anneaux de Lie
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