Breadth and commutator subgroups of p-groups

DOI10.1016/0021-8693(74)90138-0zbMath0291.20023OpenAlexW1967561450MaRDI QIDQ1211124

Michael Vaughan-Lee

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90138-0

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (20)

6-BFC groups. ⋮ Conjugacy classes in Sylow p-subgroups of GL(n,q), II ⋮ Finite core-\(p\) \(p\)-groups ⋮ Strengthened wiegold conjecture in the theory of nilpotent Lie algebras ⋮ Average dimension of fixed point spaces with applications. ⋮ Finite \(p\)-groups of conjugate type \(\{1,p^{3}\}\) ⋮ Some finite \(p\)-groups with bounded index of every cyclic subgroup in its normal closure. ⋮ Proof of a conjecture of Wiegold ⋮ On generalized Dedekind groups and Tarski super monsters ⋮ Proof of a conjecture of Wiegold for nilpotent Lie algebras ⋮ Universal commutator relations, Bogomolov multipliers, and commuting probability ⋮ Breadth, class and commutator subgroups of p-groups ⋮ Local linear dependence seen through duality. II ⋮ Finite \(p\)-groups up to isoclinism, which have only two conjugacy lengths ⋮ On nilpotent Lie algebras of small breadth ⋮ Groups with all elements of finite length ⋮ The breadth-degree type of a finite \(p\)-group ⋮ Lie properties of the group algebra and the nilpotency class of the group of units ⋮ Finite Groups with Small Normal Closure of Cyclic Subgroups ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Breadth, class and commutator subgroups of p-groups
• Groups with boundedly finite classes of conjugate elements
• Commutator subgroups of finite p-groups
• Second nilpotent BFC groups
• An improved bound for BFCp-groups
• Metabelian Bfc P -Groups

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