Lie identities in symmetric elements in group rings: a survey.. Groups, rings and group rings
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Knowledge AreaEconomía Aplicada
SponsorsThe first author has been partially supported by FAPESP and CAPES of Brazil and the second author by Fundación Séneca of Murcia.
Bibliographic CitationBROCHE CRISTO, Osnel, RUIZ MARÍN, Manuel. Lie identities in symmetric elements in group rings: a survey.. Groups, rings and group rings. Lecture notes in pure and applied mathematics, 248: 43-55, 2006 . ISSN 0075-8469
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In this survey we gather some results concerning polynomial identities (resp. group identities) in the set of symmetric elements (resp. symmetric units), and when these identities are transferred to the whole group ring (resp. unit group). We consider several kinds of involutions, not only the classical involution.
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