On the Schur multipliers of finite \(p\)-groups of given coclass.

DOI10.1007/s11856-011-0106-5zbMath1259.20017OpenAlexW1993759021MaRDI QIDQ1758929

Primož Moravec

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0106-5

zbMATH Keywords

finite \(p\)-groupsexponentsSchur multipliersorder bounds\(p\)-groups of maximal class

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15) Projective representations and multipliers (20C25)

Related Items (19)

A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ Weak commutativity for pro-\(p\) groups ⋮ On the exponent of Bogomolov multipliers ⋮ Bounds for the exponent of the Schur multiplier ⋮ On weak commutativity in \(p\)-groups ⋮ The exponent of the non‐abelian tensor square and related constructions ofp‐groups ⋮ The origins of coclass theory ⋮ Bounds on the order of the Schur multiplier of \(p\)-groups ⋮ A note on the order of the Schur multiplier of p-groups ⋮ The Schur multiplier of a p-group with the derived subgroup of maximal order ⋮ On the Schur multiplier of finite \(p\)-groups of maximal class ⋮ Unnamed Item ⋮ A note on skeleton groups in coclass graphs ⋮ The influence of the complete nonexterior square graph on some infinite groups ⋮ A NOTE ON p-CENTRAL GROUPS ⋮ The unitary cover of a finite group and the exponent of the Schur multiplier. ⋮ The Schur multiplier of groups of order \(p^5\) ⋮ On Schur's exponent property and its relation to Noether's Rationality problem ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

Uses Software

• GAP

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