Limits of Abelian subgroups of finite \(p\)-groups

DOI10.1006/jabr.1997.7340zbMath0964.20011OpenAlexW2003891407MaRDI QIDQ1266466

J. L. Alperin, George Glauberman

Publication date: 8 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7340

zbMATH Keywords

finite \(p\)-groupsLie algebrasnormal elementary Abelian subgroupsLie ringsLazard functors

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15)

Related Items (14)

An algorithm for the Thompson subgroup of a \(p\)-group. ⋮ Central aspects of skew translation quadrangles. I. ⋮ Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ The rank and coexponent of a finite \(p\)-group. ⋮ Large Abelian subgroups of finite \(p\)-groups ⋮ On \(p\)-groups with a maximal elementary abelian normal subgroup of rank \(k\) ⋮ A partial analogue of Borel's fixed point theorem for finite \(p\)-groups. ⋮ Large subgroups of small class in finite \(p\)-groups. ⋮ Large characteristic subgroups satisfying multilinear commutator identities. ⋮ Existence of normal subgroups in finite \(p\)-groups. ⋮ \(p\)-groups with maximal elementary Abelian subgroups of rank 2. ⋮ Large Abelian subgroups of groups of prime exponent ⋮ Centrally large subgroups of finite \(p\)-groups. ⋮ On subgroups and epimorphic images of finite \(p\)-groups

Cites Work

• Counting abelian subgroups of p-groups. A projective approach
• Large Abelian subgroups of finite \(p\)-groups
• Eigenvalues of a Laplacian and commutative Lie subalgebras
• Large Abelian Subgroups of p-Groups
• Endliche Gruppen I
• A Note on Finite Metabelian p-Groups
• Sur les groupes nilpotents et les anneaux de Lie
• Large Abelian subgroups of groups of prime exponent
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