On minimal relation modules and 1-cohomology of finite groups

DOI10.1007/BF01191178zbMath0553.20003OpenAlexW2042624825MaRDI QIDQ802006

Wolfgang Kimmerle, Julian S. Williams

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191178

zbMATH Keywords

generatorminimal free resolutionminimal number of generators\({\mathbb{Z}}G\)-latticepresentation rankpresentations of finite groupsuniqueness of minimal relation modules

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Integral representations of finite groups (20C10)

Related Items

On the generation gap of a finite group, First cohomology groups of Chevalley groups in cross characteristic., On modular relation modules and residual nilpotence, Some applications of the first cohomology group, Some questions on the number of generators of a finite group

Cites Work

• Free presentations and relation modules of finite groups
• Some applications of the first cohomology group
• The presentation rank of a direct product of finite groups
• K-theory of finite groups and orders. Notes by E. Graham Evans
• Growth sequences of finite groups II
• Endliche Gruppen I
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