On \(p\)-groups of Frobenius type

DOI10.1007/BF01198216zbMath0788.20010MaRDI QIDQ1176760

Avinoam Mann, Carlo Maria Scoppola

Publication date: 25 June 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Frobenius groupsnilpotency class\(p\)-groupscentral seriesderived subgroupextraspecial \(p\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

Minimal characters of p-groups ⋮ Weak Cayley tables and generalized centralizer rings of finite groups ⋮ On Infinite Camina Groups ⋮ Finite Groups in Which Class Preserving and Central Automorphisms Coincide ⋮ Camina Lie algebras ⋮ Generalized Frobenius groups. II. ⋮ Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. ⋮ Finite \(p\)-groups of nilpotency class 3 with two conjugacy class sizes ⋮ Centralizers of Camina \(p\)-groups of nilpotence class 3 ⋮ Finite groups with many product conjugacy classes. ⋮ Some finite groups with large conjugacy classes

Cites Work

• Some finite groups with large conjugacy classes
• Generalized Frobenius groups
• More on \(p\)-groups of Frobenius type
• Semi-extraspecial groups of exponent p
• Some conditions which almost characterize Frobenius groups.
• Generalized Frobenius groups. II.
• Some p-groups of Frobenius and extra-special type

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