COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS

DOI10.1142/S021819671100639XzbMath1239.20020OpenAlexW2010536703MaRDI QIDQ3013893

Bettina Eick, Dörte Feichtenschlager

Publication date: 19 July 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819671100639x

zbMATH Keywords

symbolic computationfinite \(p\)-groupscohomologypolycyclic presentationsSchur multiplicatorscoclass

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Projective representations and multipliers (20C25)

Related Items (10)

The distribution of second \(p\)-class groups on coclass graphs ⋮ Character degrees of finite \(p\)-groups by coclass. ⋮ The origins of coclass theory ⋮ COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY ⋮ Metabelian \(p\)-groups and coclass theory. ⋮ Automorphism groups of 2-groups of coclass at most 3 ⋮ SymbCompCC ⋮ ON THE CLASSIFICATION OF GROUPS OF PRIME-POWER ORDER BY COCLASS: THE 3-GROUPS OF COCLASS 2 ⋮ Principalization algorithm via class group structure ⋮ On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass

Uses Software

• GAP

Cites Work

• Unnamed Item
• Collection from the left and other strategies
• Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
• Schur multiplicators of finite \(p\)-groups with fixed coclass.
• Space groups and groups of prime-power order. I
• Coclass and cohomology.
• On the classification of prime-power groups by coclass
• Classifying 2-groups by coclass
• Counting \(p\)-groups and nilpotent groups

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