Schur multipliers and power endomorphisms of groups.

DOI10.1016/j.jalgebra.2006.06.035zbMath1120.20034OpenAlexW1999037577MaRDI QIDQ868846

Primož Moravec

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.06.035

zbMATH Keywords

finite \(p\)-groupsexponentsSchur multiplierspower endomorphismspowerful \(p\)-groups\(n\)-central groupsexponential ranks

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Central extensions and Schur multipliers (19C09)

Related Items (17)

On pro-\(p\) groups with potent filtrations. ⋮ 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 ⋮ On weak commutativity in \(p\)-groups ⋮ The exponent of the non‐abelian tensor square and related constructions ofp‐groups ⋮ Units of group rings, the Bogomolov multiplier and the fake degree conjecture ⋮ On the exponent semigroups of finite p-groups ⋮ SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS ⋮ SCHUR MULTIPLIERS OF n-ENGEL GROUPS ⋮ A NOTE ON p-CENTRAL GROUPS ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass. ⋮ The unitary cover of a finite group and the exponent of the Schur multiplier. ⋮ The exponents of nonabelian tensor products of groups. ⋮ On the exponent of the weak commutativity group \(\chi (G)\) ⋮ On Schur's exponent property and its relation to Noether's Rationality problem ⋮ ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS

Uses Software

• GAP

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• On certain varieties of groups
• On n-Levi groups
• On 2-generator metabelian groups of prime-power exponent
• Abelian groups with a vanishing homology group
• Baer-invariants, isologism, varietal laws and homology
• On the relation between upper central quotients and lower central series of a group
• On power endomorphisms of n-central groups
• A Classification Of _n-Abelian Groups
• Endliche Gruppen I
• A note on centre-by-finite-exponent varieties of groups
• Some Inequalities for the Multiplicator of a Finite Group. II
• Factorization of n-Soluble and n-Nilpotent Groups
• A bound for the exponent of the Schur multiplier of some finite \(p\)-groups
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