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Original Articles

A Survey on *-Group Identities on Units of Group Rings

Pages 4540-4567 | Received 25 Jul 2011, Published online: 10 Oct 2012
 

Abstract

Let F be an infinite field of characteristic different from 2 and G a torsion group. Let the group ring FG have an involution induced from an involution on G. We survey recent results establishing the conditions under which the unit group of FG satisfies a *-group identity. The surprising outcome is that the unit group satisfies a *-group identity if and only if the symmetric units of FG satisfy a group identity.

2010 Mathematics Subject Classification:

Notes

Communicated by S. Sehgal.

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