Group identities on symmetric units

dc.creatorGIAMBRUNO, A.
dc.creatorMILIES, C. Polcino
dc.creatorSEHGAL, Sudarshan K.
dc.date.accessioned2012-10-20T04:51:17Z
dc.date.accessioned2018-07-04T15:47:20Z
dc.date.available2012-10-20T04:51:17Z
dc.date.available2018-07-04T15:47:20Z
dc.date.created2012-10-20T04:51:17Z
dc.date.issued2009
dc.identifierJOURNAL OF ALGEBRA, v.322, n.8, p.2801-2815, 2009
dc.identifier0021-8693
dc.identifierhttp://producao.usp.br/handle/BDPI/30753
dc.identifier10.1016/j.jalgebra.2009.06.025
dc.identifierhttp://dx.doi.org/10.1016/j.jalgebra.2009.06.025
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627392
dc.description.abstractLet F be an infinite field of characteristic different from 2, G a group and * an involution of G extended by linearity to an involution of the group algebra FG. Here we completely characterize the torsion groups G for which the *-symmetric units of FG satisfy a group identity. When * is the classical involution induced from g -> g(-1), g is an element of G, this result was obtained in [ A. Giambruno, S. K. Sehgal, A. Valenti, Symmetric units and group identities, Manuscripta Math. 96 (1998) 443-461]. (C) 2009 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relationJournal of Algebra
dc.rightsCopyright ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsrestrictedAccess
dc.subjectGroup algebra
dc.subjectInvolution
dc.subjectSymmetric unit
dc.subjectGroup identity
dc.titleGroup identities on symmetric units
dc.typeArtículos de revistas


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