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arXiv · 1206.7013

Free symmetric group algebras in division rings generated by poly-orderable groups

Vitor O. Ferreira·Jairo Z. Goncalves·Javier Sanchez
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Abstract

We show that the canonical involution on a nonabelian poly-orderable group G extends to the Hughes-free division ring of fractions D of the group algebra k[G] of G over a field k and that, with respect to this involution, D contains a pair of symmetric elements freely generating a free group subalgebra of D over k.

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Vitor O. Ferreira, Jairo Z. Goncalves, Javier Sanchez. 2012-06-29. Free symmetric group algebras in division rings generated by poly-orderable groups. https://arxiv.org/abs/1206.7013

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