7 papers
A classification of the finite two-generated cyclic-by-abelian groups of prime power order
Osnel Broche, Diego García, Ángel del Río
We obtain a classification of the finite two-generated cyclic-by-abelian groups of prime-power order. For that we associate to each such group a list $\inv(G)$ of numerical gro…
The Modular Isomorphism Problem for two generated groups of class two
Osnel Broche, Ángel del Río
We prove that if is finite 2-generated -group of nilpotence class at most 2 then the group algebra of with coefficients in the field with elements determines up…
Group algebras whose units satisfy a Laurent Polynomial Identity
Osnel Broche, Jairo Z. Gonçalves, Ángel del Río
Let be the group algebra of a torsion group over a field . We show that if the units of satisfy a Laurent polynomial identity which is not satisfied by the units o…
Polynomials defining many units
Osnel Broche, Ángel del Río
We classify the polynomials with integral coefficients that, when evaluated on a group element of finite order , define a unit in the integral group ring for infinitely many pos…
Group rings with Lie metabelian set of symmetric elements
Osnel Broche, Ángel del Río, Manuel Ruiz
Let be a commutative ring of characteristic zero and an arbitrary group. In the present paper we classify the groups for which the set of symmetric elements with respec…
Antisymmetric Elements in Group Rings II
O. Broche, E. Jespers, C. Polcino Milies +1
Let be a commutative ring, a group and its group ring. Let $\vp : RG\to RG$ denote the -linear extension of an involution $\vp$ defined on . An element in $R…