Star-group identities and groups of units

dc.creatorGIAMBRUNO, Antonio
dc.creatorMILIES, Cesar Polcino
dc.creatorSEHGAL, Sudarshan K.
dc.date.accessioned2012-10-20T04:50:57Z
dc.date.accessioned2018-07-04T15:47:09Z
dc.date.available2012-10-20T04:50:57Z
dc.date.available2018-07-04T15:47:09Z
dc.date.created2012-10-20T04:50:57Z
dc.date.issued2010
dc.identifierARCHIV DER MATHEMATIK, v.95, n.6, p.501-508, 2010
dc.identifier0003-889X
dc.identifierhttp://producao.usp.br/handle/BDPI/30704
dc.identifier10.1007/s00013-010-0195-0
dc.identifierhttp://dx.doi.org/10.1007/s00013-010-0195-0
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627343
dc.description.abstractAnalogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F not equal 2. Extend * linearly to FG. We prove that the unit group U of FG satisfies a *-identity if and only if the symmetric elements U(+) satisfy a group identity.
dc.languageeng
dc.publisherBIRKHAUSER VERLAG AG
dc.relationArchiv der Mathematik
dc.rightsCopyright BIRKHAUSER VERLAG AG
dc.rightsrestrictedAccess
dc.subjectGroup identity
dc.subjectInvolution
dc.subjectGroup algebra
dc.titleStar-group identities and groups of units
dc.typeArtículos de revistas


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