Lie identities in symmetric elements in group rings: a survey.. Groups, rings and group rings
Knowledge Area
Economía AplicadaSponsors
The first author has been partially supported by FAPESP and CAPES of Brazil and the second author by Fundación Séneca of Murcia.Publication date
2006Publisher
Marcel DekkerBibliographic Citation
BROCHE 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 0075-8469Keywords
Identidad polinomialElementos simétricos
Anillo de grupo
Falsa identidad
Involución clásica
Grupo abeliano
Torsión libre
Polynomial identity
Symmetric element
Group ring
False identity
Classical involution
Abelian group
Torsion free
Abstract
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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