Editor-in-Chief: Wilson, John S.
Managing Editor: Howie, James / Kramer, Linus / Parker, Christopher W.
Editorial Board Member: Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Caprace, Pierre-Emmanuel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kessar, Radha / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Remy, Bertrand / Robinson, Derek J.S. / Willis, George
6 Issues per year
IMPACT FACTOR 2011: 0.432
5-year IMPACT FACTOR: 0.490
Mathematical Citation Quotient 2010: 0.30
1 (email)
Citation Information: Journal of Group Theory. Volume 9, Issue 5, Pages 673–683, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2006.043, September 2006
Let R be a commutative ring with unity and let G be a group. The group ring RG has a natural involution that maps each element of G to its inverse. We denote by RG + the set of symmetric elements under this involution. We study necessary and suffient conditions for RG + to be commutative or, equivalently, for RG + to be a subring of RG. We also determine all torsion groups G such that the set of symmetric units of RG is a subgroup, when char(R) is an odd prime number.
Comments (0)