Finite 2-groups with no normal elementary Abelian subgroups of order 8

DOI10.1006/jabr.2001.8972zbMath0992.20012OpenAlexW1966059944MaRDI QIDQ5957543

Zvonimir Janko

Publication date: 2 June 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8972

zbMATH Keywords

finite \(2\)-groups without normal elementary Abelian subgroups of order 8normal metacyclic subgroups

Mathematics Subject Classification ID

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

Related Items (10)

Nonnormal and minimal nonabelian subgroups of a finite group. ⋮ On \(p\)-groups with a maximal elementary abelian normal subgroup of rank \(k\) ⋮ Finite 2-groups with a self-centralizing elementary Abelian subgroup of order 8. ⋮ On the automorphism group of inversive planes of odd order ⋮ On Cernikov \(p\)-groups. ⋮ Finite 2-groups with exactly one nonmetacyclic maximal subgroup. ⋮ On maximal Abelian subgroups in finite 2-groups. ⋮ Finite 2-groups all of whose nonabelian subgroups are generated with involutions. ⋮ A classification of finite 2-groups with exactly three involutions. ⋮ Maximal elementary abelian subgroups of rank 2

Cites Work

• Unnamed Item
• Groups of prime power order. Vol. 1.
• On 2-Groups With No Normal Abelian Subgroups of Rank 3, and Their Occurrence as Sylow 2-Subgroups of Finite Simple Groups
• 2-Groups of Normal Rank 2 for which the Frattini Subgroup has Rank
• Finite \(2\)-groups with small centralizer of an involution

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