A dichotomy for integral group rings via higher modular groups as amalgamated products

DOI10.1016/j.jalgebra.2022.03.044OpenAlexW3013946926MaRDI QIDQ2136905

Andreas Bächle, Ann Kiefer, Doryan Temmerman, Geoffrey Janssens, Eric Jespers

Publication date: 16 May 2022

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

Full work available at URL: https://arxiv.org/abs/1811.12226

zbMATH Keywords

unitsfree products with amalgamationClifford algebraintegral group ringsspecial linear groupsSerre's property FA

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other matrix groups over rings (20H25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Abelianization and fixed point properties of units in integral group rings ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question

Uses Software

• GAP

Cites Work

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