A cohomological approach to the modular isomorphism problem.

DOI10.1016/j.jpaa.2003.10.022zbMath1072.20002OpenAlexW2092518588MaRDI QIDQ1434762

Inger Christin Borge

Publication date: 12 July 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10852/10683

zbMATH Keywords

group algebrasfinite \(p\)-groupsMassey productsdefining relationscohomological invariantsmodular isomorphism problem

Mathematics Subject Classification ID

Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Massey products (55S30)

Related Items (4)

Change of rings in deformation theory of modules ⋮ The modular isomorphism problem: a survey ⋮ The cohomology of canonical quotients of free groups and Lyndon words ⋮ Cohomological uniqueness, Massey products and the modular isomorphism problem for $2$-groups of maximal nilpotency class

Cites Work

• Finite Abelian groups with isomorphic group algebras
• Homology, Massey products and maps between groups
• Isomorphisms of modular group algebras: An algorithm and its application to groups of order \(2^ 6\)
• The group algebras of groups of order \(p^ 4\) over a modular field
• Matric Massey products
• On the associated graded ring of a group ring
• Isomorphism of modular group algebras
• On quasinormal subgroups of finite groups
• The modular group algebra problem for metacyclic 𝑝-groups
• Massey Higher Products
• Sur les groupes nilpotents et les anneaux de Lie
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