\(p\)-groups of small breadth

DOI10.1006/jabr.1998.7660zbMath0921.20018OpenAlexW1969078704MaRDI QIDQ1283662

Bernd Stellmacher, Gemma Parmeggiani

Publication date: 3 October 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7660

zbMATH Keywords

finite \(p\)-groupscenterscommutator subgroupsbreadth

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (13)

Finite \(p\)-groups of nilpotency class 3 with two conjugacy class sizes ⋮ The breadth of Lie poset algebras ⋮ Finite \(p\)-groups of conjugate type \(\{1,p^{3}\}\) ⋮ Nilpotent Lie algebras of breadth type (0, 3) ⋮ Finite nilpotent groups with relatively large centralizers of noninvariant subgroups. ⋮ Commutators and commutator subgroups of finite \(p\)-groups ⋮ 2-groups of breadth 3. ⋮ More on core-2 2-groups ⋮ The nilpotency class of \(p\)-groups in which subgroups have few conjugates. ⋮ Characterization of nilpotent Lie algebras of breadth 3 over finite fields of odd characteristic ⋮ On nilpotent Lie algebras of small breadth ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Groups of prime power order with many conjugacy classes
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Über den Frobeniusschen Klassenbegriff in nilpotenten Gruppen. II

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