On the classification of prime-power groups by coclass

DOI10.1112/blms/bdn007zbMath1168.20007OpenAlexW1985541145MaRDI QIDQ3516814

Bettina Eick, Charles R. Leedham-Green

Publication date: 11 August 2008

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

Full work available at URL: https://doi.org/10.1112/blms/bdn007

zbMATH Keywords

cohomology groupspro-\(p\)-groupsfinite \(p\)-groups of given coclass

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items (25)

Galois trees in the graph of \(p\)-groups of maximal class ⋮ Coclass theory for nilpotent semigroups via their associated algebras. ⋮ NONINNER AUTOMORPHISMS OF ORDER IN FINITE -GROUPS OF COCLASS 2, WHEN ⋮ The distribution of second \(p\)-class groups on coclass graphs ⋮ Book Review: Groups of prime power order. Vol. 1 (with a foreword by Zvonimir Janko); Groups of prime power order. Vol. 2 ⋮ THE SECOND p-CLASS GROUP OF A NUMBER FIELD ⋮ Character degrees of finite \(p\)-groups by coclass. ⋮ The origins of coclass theory ⋮ Orbit isomorphic skeleton groups ⋮ Transfers of metabelian \(p\)-groups ⋮ COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY ⋮ Metabelian \(p\)-groups and coclass theory. ⋮ A note on skeleton groups in coclass graphs ⋮ Schur multiplicators of finite \(p\)-groups with fixed coclass. ⋮ Automorphism groups of 2-groups of coclass at most 3 ⋮ COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS ⋮ Finite \(p\)-groups of maximal class with `large' automorphism groups ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass. ⋮ Periodic patterns in the graph of p-groups of maximal class ⋮ Coclass Theory for Finite Nilpotent Associative Algebras: Algorithms and a Periodicity Conjecture ⋮ ON THE CLASSIFICATION OF GROUPS OF PRIME-POWER ORDER BY COCLASS: THE 3-GROUPS OF COCLASS 2 ⋮ The Quillen categories of \(p\)-groups and coclass theory. ⋮ Principalization algorithm via class group structure ⋮ On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass ⋮ AN IMPROVEMENT OF A BOUND OF GREEN

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