ON FINITE p-GROUPS WITH SUBGROUPS OF BREADTH 1

DOI10.1017/S0004972710000055zbMath1201.20012MaRDI QIDQ3579995

Howard Smith, James Wiegold, Giovanni Cutolo

Publication date: 11 August 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesfinite \(p\)-groupscyclic subgroupsderived subgroupcentral factor groupnumbers of conjugatessubgroup breadths

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• The nilpotency class of \(p\)-groups in which subgroups have few conjugates.
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Some Explicit Bounds in Groups with Finite Derived Groups

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