A counterexample to the unit conjecture for group rings

DOI10.4007/annals.2021.194.3.9zbMath1494.16026arXiv2102.11818OpenAlexW3212881066WikidataQ113692556 ScholiaQ113692556MaRDI QIDQ2058618

Giles Gardam

Publication date: 9 December 2021

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.11818

zbMATH Keywords

group ringunit conjecture

Mathematics Subject Classification ID

Group rings (16S34) Units, groups of units (associative rings and algebras) (16U60)

Related Items (14)

Generating infinite monoids of cellular automata ⋮ Examples of non connective \(C^*\)-algebras ⋮ A NOTE ON GROUP RINGS WITH TRIVIAL UNITS ⋮ Properties of the combinatorial Hantzsche-Wendt groups ⋮ Fuchs' problem for endomorphisms of abelian groups ⋮ Complex group rings and group \(\mathrm{C}^*\)-algebras of group extensions ⋮ Generic algebraic properties in spaces of enumerated groups ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ On noncommutative bounded factorization domains and prime rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cutting corners ⋮ A counterexample to the unit conjecture for group rings ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

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