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

DOI10.1007/s11856-008-1024-zzbMath1158.20011OpenAlexW2074920799MaRDI QIDQ948878

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/s11856-008-1024-z

zbMATH Keywords

finite \(p\)-groupscentral exponentspro-\(p\)-groupsSchur multiplicatorscoclass

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items

The origins of coclass theory ⋮ Schur multiplicators of finite \(p\)-groups with fixed coclass. ⋮ SOME CONSIDERATIONS ON THE NONABELIAN TENSOR SQUARE OF CRYSTALLOGRAPHIC GROUPS ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass.

Uses Software

• GAP

Cites Work

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• Schur multiplicators of finite \(p\)-groups with fixed coclass.
• Some homology groups of wreathe products
• Classifying 2-groups by coclass
• DETERMINATION OF THE UNISERIAL SPACE GROUPS WITH A GIVEN COCLASS