Let KG be the group ring of the group G over the field K and U (KG) its unit group. When G is
finite we derive conditions which imply that every noncentral subnormal subgroup of U (KG) …

Let $ K [G] $ be the group algebra of a group $ G $ over a field $ K $, and let $ U (K [G]) $ be
its group of units. A conjecture by Brian Hartley asserts that if $ G $ is a torsion group and …

GROUP ALGEBRAS WHOSE UNITS SATISFY A GROUP IDENTITY 1. Introduction The unit
group U = U(FG) is said to satisfy a group identity Page 1 PROCEEDINGS OF THE AMERICAN …

Let $ D $ be a weakly locally finite division ring and $ n $ a positive integer. The problem
under study concerns the existence of noncyclic free subgroups in noncentral almost …

In this paper we study rings R with an involution whose symmetric units satisfy a group
identity. An important example is given by FG, the group algebra of a group G over a field F; …

Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that
either F is infinite or G has an element of infinite order. We characterize groups G so that U …

We consider fine group gradings on the algebra $ M_n (\mathbb {C}) $ of $ n $ by $ n $
matrices over the complex numbers and the corresponding graded polynomial identities …

A division ring D is said to be weakly locally finite if for every finite subset S ⊂ DS⊂ D, the
division subring of D generated by S is centrally finite. It is known that the class of weakly …

This survey contains results obtained in this area from the second half of the sixties to the
present time. In the group of units of the group ring, normal periodic subgroups, elements of …

Let 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 …