On the exponent semigroups of finite p-groups

DOI10.1515/JGT.2008.030zbMath1152.20017MaRDI QIDQ3516779

Primož Moravec

Publication date: 11 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsSchur multipliers\(p\)-groups of maximal classexponential ranksexponent semigroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutative semigroups (20M14) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14)

Related Items

Groups of order \(p^5\) and their unramified Brauer groups ⋮ A property of \(p\)-groups of nilpotency class \(p + 1\) related to a theorem of Schur ⋮ On the exponent of Bogomolov multipliers ⋮ Bounds for the exponent of the Schur multiplier ⋮ The unitary cover of a finite group and the exponent of the Schur multiplier. ⋮ The exponents of nonabelian tensor products of groups. ⋮ The Schur multiplier of groups of order \(p^5\)

Uses Software

• GAP

Cites Work

• On a special class of \(p\)-groups
• Schur multipliers and power endomorphisms of groups.
• On the relation between upper central quotients and lower central series of a group
• 2-groups of almost maximal class
• On power endomorphisms of n-central groups
• A Classification Of _n-Abelian Groups
• A note on centre-by-finite-exponent varieties of groups
• Some Inequalities for the Multiplicator of a Finite Group. II