TY - GEN
T1 - Explicit universal axioms for Kaplansky groups
AU - Bakulin, Sergey
AU - Miasnikov, Alexei
N1 - Publisher Copyright:
© 2020 De Gruyter Proceedings in Mathematics. All rights reserved.
PY - 2020/2/10
Y1 - 2020/2/10
N2 - 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.
AB - 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.
KW - Kaplansky conjecture
KW - Kaplansky groups
KW - universal axioms
UR - http://www.scopus.com/inward/record.url?scp=85121021014&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85121021014&partnerID=8YFLogxK
U2 - 10.1515/9783110638387-001
DO - 10.1515/9783110638387-001
M3 - Conference contribution
AN - SCOPUS:85121021014
T3 - De Gruyter Proceedings in Mathematics
SP - 1
EP - 6
BT - Elementary Theory of Groups and Group Rings, and Related Topics - Proceedings of the Conference
A2 - Baginski, Paul
A2 - Fine, Benjamin
A2 - Moldenhauer, Anja
A2 - Rosenberger, Gerhard
A2 - Shpilrain, Vladimir
T2 - 2018 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
Y2 - 1 November 2018 through 2 November 2018
ER -