Generation gaps and abelianized defects of free products

DOI10.1515/JGT.2008.036zbMath1160.20002arXivmath/0701225OpenAlexW1966164160MaRDI QIDQ3534789

K. W. Gruenberg, Peter A. Linnell

Publication date: 5 November 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701225

zbMATH Keywords

numbers of generatorsintegral group ringsrelation modulesfree products of groupsfree presentations

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (3)

Explicit generators for the relation module in the example of Gruenberg–Linnell ⋮ An exotic presentation of \(Q_{28}\) ⋮ On the number of relations in free products of Abelian groups.

Cites Work

• The presentation rank of a direct product of finite groups
• The smallest group with non-zero presentation rank
• Deficiency and abelianized deficiency of some virtually free groups
• Modules Over Coproducts of Rings

This page was built for publication: Generation gaps and abelianized defects of free products