COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY

DOI10.1017/S1446788716000185zbMath1428.20021arXiv1505.01701OpenAlexW1783127546MaRDI QIDQ2986029

David J. Green, Bettina Eick

Publication date: 11 May 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01701

zbMATH Keywords

\(p\)-groupsextension classcoclassQuillen category

Mathematics Subject Classification ID

Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

The origins of coclass theory ⋮ A note on skeleton groups in coclass graphs

Uses Software

• Coclass
• SymbCompCC

Cites Work

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• The mod-2 cohomology of metacyclic 2-groups
• Space groups and groups of prime-power order. I
• Essential cohomology of finite groups
• The Quillen categories of \(p\)-groups and coclass theory.
• Automorphism groups of 2-groups.
• The spectrum of an equivariant cohomology ring. I. II
• ON THE CLASSIFICATION OF GROUPS OF PRIME-POWER ORDER BY COCLASS: THE 3-GROUPS OF COCLASS 2
• COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS
• On the classification of prime-power groups by coclass
• The isomorphism problem for graded algebras and its application to \(\mathrm{mod-}p\) cohomology rings of small \(p\)-groups.

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