Finite \(p\)-groups with few minimal nonabelian subgroups.

DOI10.1016/j.jalgebra.2005.04.011zbMath1108.20012OpenAlexW1998589109MaRDI QIDQ2491801

Yakov G. Berkovich

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.04.011

zbMATH Keywords

finite \(p\)-groupsAbelian subgroupsminimal nonabelian groupsminimal nonabelian subgroups\(\mathcal A_n\)-groups

Mathematics Subject Classification ID

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

Related Items (10)

Twisted centrally large subgroups of finite groups ⋮ On the number of irreducible characters in a 3-block with a minimal nonabelian defect group ⋮ Nonnormal and minimal nonabelian subgroups of a finite group. ⋮ $\mathcal{A}_t$-GROUPS SATISFYING A CHAIN CONDITION ⋮ On the control of fusion in the local category for the \(p\)-block with a minimal nonabelian defect group. ⋮ Finite \(p\)-groups all of whose proper subgroups have small derived subgroups. ⋮ A classification of finite metahamiltonian \(p\)-groups ⋮ On the Number of Ordinary Irreducible Characters in ap-Block with a Minimal Nonabelian Defect Group ⋮ Finite p-groups with a minimal non-abelian subgroup of index p (IV) ⋮ Finite p-groups with a minimal non-abelian subgroup of index p (V)

Cites Work

• Unnamed Item
• On Abelian subgroups of \(p\)-groups
• On subgroups and epimorphic images of finite \(p\)-groups
• Groups of prime power order. Vol. 3.
• Alternate proofs of some basic theorems of finite group theory
• Finite 2-groups with exactly four cyclic subgroups of order 2n
• Conjugacy classes in finite groups

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