Artículos de revistas
Star-group identities and groups of units
ARCHIV DER MATHEMATIK, v.95, n.6, p.501-508, 2010
MILIES, Cesar Polcino
SEHGAL, Sudarshan K.
Analogous 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.