New examples of torsion-free non-unique product groups.

DOI10.1515/jgt-2013-0051zbMath1300.20041arXiv1302.0049OpenAlexW2963958454MaRDI QIDQ2450073

Yanyan Li

Publication date: 16 May 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0049

zbMATH Keywords

group algebrasfree productstorsion free groupsunique product groupszero divisor conjecturetrivial unit conjectureKaplansky conjecturesnon-unique product groupsup-groupsKlein-bottle group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Units, groups of units (associative rings and algebras) (16U60) Groups acting on trees (20E08)

Related Items (4)

Unique product groups and congruence subgroups ⋮ Rips construction without unique product ⋮ A counterexample to the unit conjecture for group rings ⋮ Rips-Segev torsion-free groups without the unique product property

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