M. Ruiz

activity

20052013

collaborators

4 papers

math.RA2013

Group rings with Lie metabelian set of symmetric elements

Osnel Broche, Ángel del Río, Manuel Ruiz

Let $R$ be a commutative ring of characteristic zero and $G$ an arbitrary group. In the present paper we classify the groups $G$ for which the set of symmetric elements with respec…

math.RA2008

Antisymmetric Elements in Group Rings II

O. Broche, E. Jespers, C. Polcino Milies +1

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

math.KT2007

Antisymmetric elements in group rings with an orientation morphism

O. Broche, E. Jespers, M. Ruiz

Let $R$ be a commutative ring, $G$ a group and $R G$ its group ring. Let $ϕ_{σ} : R G \to R G$ denote the involution defined by $ϕ_{σ} (\sum r_{g} g) = \sum r_{g} σ (g) g^{- 1}$ , where $σ:G\t…

math.GR2005

Groups of units of integral group rings commensurable with direct products of free-by-free groups

Eric Jespers, Antonio Pita, Angel del Rio +2

We classify the finite groups $G$ such that the group of units of the integral group ring $Z G$ has a subgroup of finite index which is a direct product of free-by-free g…