Computing \(p\)-groups with trivial Schur multiplicator.

DOI10.1016/j.jalgebra.2009.03.031zbMath1196.20019OpenAlexW2087573412MaRDI QIDQ731242

Bettina Eick

Publication date: 2 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.031

zbMATH Keywords

algorithmsfinite \(p\)-groupslower central seriesSchur coverscoclassesSchur multiplicatorsSchur towers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (5)

The origins of coclass theory ⋮ On the Schur multiplier of finite \(p\)-groups of maximal class ⋮ On coclass and trivial Schur multiplicator. ⋮ The Schur multiplier of groups of order \(p^5\) ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

Uses Software

• GAP
• AutPGrp
• Polycyclic

Cites Work

• On coclass and trivial Schur multiplicator.
• Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
• Schur multiplicators of finite \(p\)-groups with fixed coclass.
• The groups with order \(p^7\) for odd prime \(p\).
• Zu einem von B. H. und H. Neumann gestellten Problem
• A Property of Finite p-Groups with Trivial Multiplicator
• CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS
• On the Fitting subgroup of a polycyclic-by-finite group and its applications
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