Lie identities in symmetric elements in group rings: a survey.. Groups, rings and group rings

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URI: http://hdl.handle.net/10317/1002
ISSN: 0075-8469
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Author
Broche Cristo, Osnel; Ruiz Marín, Manuel
Knowledge Area
Economía Aplicada
Sponsors
The first author has been partially supported by FAPESP and CAPES of Brazil and the second author by Fundación Séneca of Murcia.
Publication date
2006
Publisher
Marcel Dekker
Bibliographic 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 0075-8469
Keywords
Identidad polinomial
Elementos 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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Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España