English

Group rings with Lie metabelian set of symmetric elements

Rings and Algebras 2013-10-31 v1

Abstract

Let RR be a commutative ring of characteristic zero and GG an arbitrary group. In the present paper we classify the groups GG for which the set of symmetric elements with respect to the classical involution of the group ring RGRG is Lie metabelian.

Keywords

Cite

@article{arxiv.1310.8100,
  title  = {Group rings with Lie metabelian set of symmetric elements},
  author = {Osnel Broche and Ángel del Río and Manuel Ruiz},
  journal= {arXiv preprint arXiv:1310.8100},
  year   = {2013}
}

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21 pages