Identidades polinomiais via identidades de grupo : a conjectura de Brian Hartley
Abstract
In this work, we present the Conjecture of Brian Hartley and study its validity, i.e, we verify
if group identities in the unity group U(FG) make FG satisfy a polynomial identity, where G
is a torsion group and F any field. This study will be made first for infinite fields, and next for
any field. From this result, will be deduced necessary and suficient conditions in a group G, for
the unity group U(FG) satisfy group identities.