A bound on the Schur multiplier of a prime-power group

DOI10.1017/S0004972700036327zbMath0940.20017MaRDI QIDQ4705878

James Wiegold, Graham J. Ellis

Publication date: 17 January 2000

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

zbMATH Keywords

Schur multipliers\(p\)-groupscoranks

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Projective representations and multipliers (20C25) Central extensions and Schur multipliers (19C09)

Related Items (18)

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras ⋮ On classification of groups having Schur multiplier of maximum order. II ⋮ Characterization of Finitep-Groups by Their Non-Abelian Tensor Square ⋮ ON THE 2-NILPOTENT MULTIPLIER OF FINITEp-GROUPS ⋮ Finite \(p\)-groups having Schur multiplier of maximum order ⋮ The maximum number of triangles in a graph and its relation to the size of the Schur multiplier of special p-groups ⋮ Bounds for the dimension of the Schur multiplier of finite dimensional 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 ⋮ Some criteria for detecting capable Lie algebras ⋮ A note on the Schur multiplier of groups of prime power order. ⋮ CHARACTERIZATION OF FINITE p-GROUPS BY THEIR SCHUR MULTIPLIERS ⋮ Characterization of finite \(p\)-groups by their Schur multiplier ⋮ On classification of groups having Schur multiplier of maximum order ⋮ On the dimension of the Schur multiplier of n-Lie algebras ⋮ \(c\)-nilpotent multiplier of finite \(p\)-groups ⋮ Classification of finite \(p\)-groups by the size of their Schur multipliers ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

Cites Work

• Group extensions, representations, and the Schur multiplicator
• On the order of the commutator subgroup and the Schur multiplier of a finite \(p\)-group
• Über den Multiplikator von \(p\)-Gruppen. (On the multiplicator of \(p\)-groups)
• A bound for the derived and Frattini subgroups of a prime-power group
• On the order of schur multipliers of finitep- groups

This page was built for publication: A bound on the Schur multiplier of a prime-power group