Finite core-\(p\) \(p\)-groups

DOI10.1006/jabr.1996.6811zbMath0878.20014OpenAlexW2013442873MaRDI QIDQ1355539

Eugenii I. Khukhro, Silvana Rinauro, James Wiegold, Giovanni Cutolo, Howard Smith, John C. Lennox

Publication date: 16 July 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6811

zbMATH Keywords

indexnormal Abelian subgroupsfinite core-\(p\) \(p\)-groupsnormal cores

Mathematics Subject Classification ID

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

Related Items

Unnamed Item ⋮ Finite p -groups in which the intersection of nonnormal subgroup and center has bounded order ⋮ On finite core-\(p^{2}\) \(p\)-groups ⋮ More on core-2 2-groups ⋮ On core-2 groups ⋮ FINITE -GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS HAVE BOUNDED NORMAL CORES ⋮ Finite groups with cyclic S-cofactors of subgroups

Uses Software

• GAP

Cites Work

• Breadth and commutator subgroups of p-groups
• Strong finiteness conditions in locally finite groups
• Groups with finite classes of conjugate subgroups
• On a Class of Nilpotent Groups
• Locally Finite Groups All of Whose Subgroups are Boundedly Finite over Their Cores
• Some finiteness conditions concerning intersections of conjugates of subgroups
• A Note on Finite Metabelian p-Groups
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