The projective extensions of a finite group

DOI10.1017/S0305004100058709zbMath0466.20001MaRDI QIDQ3918284

Peter J. Webb

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

bipartite graphprojective moduleminimal number of generatorsconnected componentintegral group ringaugmentation idealminimal relation modulesclass-groupfree presentationentire genusgroup extensions with abelian kernel

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Category of groups (20J15)

Cites Work

• Locally free classgroups of groups of prime power order
• Projective objects in categories of group extensions
• Minimal resolutions for finite groups
• Genera and decompositions of lattices over orders
• Cohomological topics in group theory.