Lie properties of symmetric elements in group rings Page 1 Journal of Algebra 321 (2009)
890–902 Contents lists available at ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

Let RG denote the group ring of a group G over a commutative ring with unity R. Given a
homomorphism σ: G→{±1} and an involution ϕ of the group G, an oriented invoultion σϕ of …

Let F be a field of characteristic different from 2, and G a group with involution∗. Write (FG)+
for the set of elements in the group ring FG that are symmetric with respect to the induced …

Let R be a commutative ring, G a group and RG its group ring. Let φ: RG→ RG denote the R-
linear extension of an involution φ defined on G. An element x in RG is said to be φ …

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 …

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≠ 2. Extend …

In this survey we revise the methods and results on the existence and construction of free
groups of units in group rings, with special emphasis in integral group rings over finite …

Let R be a commutative ring, G a group and RG its group ring. Let φ: RG→ RG denote the R-
linear extension of an involution φ defined on G. An element x in RG is said to be …

Involutions and Anticommutativity in Group Rings Page 1 Canad. Math. Bull. Vol. 56 (2), 2013
pp. 344–353 http://dx.doi.org/10.4153/CMB-2011-178-2 c Canadian Mathematical Society …

We determine the structure of the semisimple group algebra of certain groups over the
rationals and over those finite fields where the Wedderburn decompositions have the least …