Schur multiplicators of finite \(p\)-groups with fixed coclass.

DOI10.1007/s11856-008-1025-yzbMath1153.20015OpenAlexW2072499892MaRDI QIDQ948879

Bettina Eick

Publication date: 16 October 2008

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

Full work available at URL: https://doi.org/10.1007/s11856-008-1025-y

zbMATH Keywords

finite \(p\)-groupspro-\(p\)-groupsSchur multiplicatorscoclass

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (12)

On the Existence of 3-Generator, 3-Relation Finite 2-Groups with a Given (Co)Class ⋮ The origins of coclass theory ⋮ On the Schur multiplier of finite \(p\)-groups of maximal class ⋮ A note on skeleton groups in coclass graphs ⋮ Schur multiplicators of infinite pro-\(p\)-groups with finite coclass. ⋮ COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS ⋮ A NOTE ON p-CENTRAL GROUPS ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass. ⋮ Computing \(p\)-groups with trivial Schur multiplicator. ⋮ The Schur multiplier of groups of order \(p^5\) ⋮ On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

Uses Software

• GAP

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• Schur multiplicators of infinite pro-\(p\)-groups with finite coclass.
• On the classification of prime-power groups by coclass
• Classifying 2-groups by coclass
• Counting \(p\)-groups and nilpotent groups
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