1 citations · 1 across the 3 of their papers we have counts for
7 papers
On group invariants determined by modular group algebras: even versus odd characteristic
Diego García-Lucas, Ángel del Río, Mima Stanojkovski
Let be a an odd prime and let be a finite -group with cyclic commutator subgroup . We prove that the exponent and the abelianization of the centralizer of in $G…
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…
On the Zassenhaus Conjecture for certain cyclic-by-nilpotent groups
Mauricio Caicedo, Ángel del Río
Hans Zassenhaus conjectured that every torsion unit of the integral group ring of a finite group is conjugate within the rational group algebra to an element of the form $\pm g…
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…
An algorithm to construct candidates to counterexamples to the Zassenhaus Conjecture
Leo Margolis, Ángel del Río
Let be a finite group, a nilpotent normal subgroup of and let denote the group formed by the units of the integral group ring $\mathbb{\Z…
Cliff-Weiss Inequalities and the Zassenhaus Conjecture
Leo Margolis, Ángel del Río
Let be a nilpotent normal subgroup of the finite group . Assume that is a unit of finite order in the integral group ring of which maps to the identit…