Commutator subgroups of finite p-groups

DOI10.1017/S1446788700007758zbMath0185.06102OpenAlexW2947009219WikidataQ121084870 ScholiaQ121084870MaRDI QIDQ5577159

James Wiegold

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1017/s1446788700007758

zbMATH Keywords

upper boundfinite \(p\)-groupscommutator subgroups

Mathematics Subject Classification ID

Abstract finite groups (20Dxx)

Related Items (9)

Strengthened wiegold conjecture in the theory of nilpotent Lie algebras ⋮ Bounds on the order of the Schur multiplier of \(p\)-groups ⋮ A note on the order of the Schur multiplier of p-groups ⋮ On the relation between upper central quotients and lower central series of a group ⋮ Proof of a conjecture of Wiegold ⋮ Proof of a conjecture of Wiegold for nilpotent Lie algebras ⋮ Some explicit bounds in groups with a finite number of non-normal subgroups ⋮ Breadth and commutator subgroups of p-groups ⋮ On classification of groups having Schur multiplier of maximum order

Cites Work

• Multiplicators and groups with finite central factor-groups
• Transitive subgroups of transitive p-groups
• Über den Multiplikator von \(p\)-Gruppen. (On the multiplicator of \(p\)-groups)
• Transitive permutation groups and groups with finite derived groups
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Some Explicit Bounds in Groups with Finite Derived Groups
• Groups Covered By Permutable Subsets

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