Explicit universal axioms for Kaplansky groups

Sergey Bakulin, Alexei Miasnikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, we give an explicit set of universal axioms in the pure group theory language for the class of groups whose group algebras over an arbitrary field have no zero divisors. This answer a question posed by Fine, Gaglione, Rosenberger, and Spellman.

Original languageEnglish
Title of host publicationElementary Theory of Groups and Group Rings, and Related Topics - Proceedings of the Conference
EditorsPaul Baginski, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Vladimir Shpilrain
Pages1-6
Number of pages6
ISBN (Electronic)9783110636734
DOIs
StatePublished - 10 Feb 2020
Event2018 Elementary Theory of Group Rings and Related Topics. A Conference in Honor of Gilbert Baumslag and the 70th Birthdays of Ben Fine and Tony Gaglione - New York, United States
Duration: 1 Nov 20182 Nov 2018

Publication series

NameDe Gruyter Proceedings in Mathematics
ISSN (Print)2942-4801
ISSN (Electronic)2942-4828

Conference

Conference2018 Elementary Theory of Group Rings and Related Topics. A Conference in Honor of Gilbert Baumslag and the 70th Birthdays of Ben Fine and Tony Gaglione
Country/TerritoryUnited States
CityNew York
Period1/11/182/11/18

Keywords

  • Kaplansky conjecture
  • Kaplansky groups
  • universal axioms

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