The isomorphism problem for graded algebras and its application to \(\mathrm{mod-}p\) cohomology rings of small \(p\)-groups.

DOI10.1016/j.jalgebra.2015.10.019zbMath1346.16040arXiv1503.04666OpenAlexW2964209737MaRDI QIDQ5964513

Simon A. King, Bettina Eick

Publication date: 29 February 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04666

zbMATH Keywords

finite \(p\)-groupscohomology ringsgraded algebrasisomorphism problem

Mathematics Subject Classification ID

Cohomology of groups (20J06) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Graded rings and modules (associative rings and algebras) (16W50) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (1)

COCHAIN SEQUENCES AND THE QUILLEN CATEGORY OF A COCLASS FAMILY

Uses Software

• GAP
• SageMath
• SINGULAR
• SmallGroups Library
• Mod-p group cohomology

Cites Work

• Unnamed Item
• The computation of the cohomology rings of all groups of order 128.
• The mod-p cohomology rings of metacyclic groups
• Cohomology rings of finite groups. With an appendix: Calculations of cohomology rings of groups of order dividing 64.
• Coclass and cohomology.
• COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• SINGULAR

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