Mauricio Caicedo

activity

20152019

collaborators

4 papers

math.GR2019

Orders of units in integral group rings and blocks of defect $1$

Mauricio Caicedo, Leo Margolis

We show that if the Sylow $p$ -subgroup of a finite group $G$ is of order $p$ , then the normalized unit group of the integral group ring of $G$ contains a normalized unit of order $…

math.GR2018

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 $G$ is conjugate within the rational group algebra to an element of the form $\pm g…

math.GR2018

Global and local properties of finite groups with only finitely many central units in their integral group ring

Andreas Bächle, Mauricio Caicedo, Eric Jespers +1

The aim of this article is to explore global and local properties of finite groups whose integral group rings have only trivial central units, so-called cut groups. For such a grou…

math.GR2015

On the Prime Graph Question for Almost Simple Groups with an Alternating Socle

Andreas Bächle, Mauricio Caicedo

Let $G$ be an almost simple group with socle $A_{n}$ , the alternating group of degree $n$ . We prove that there is a unit of order $pq$ in the integral group ring of $G$ if and only i…

Orders of units in integral group rings and blocks of defect 1

On the Zassenhaus Conjecture for certain cyclic-by-nilpotent groups

Global and local properties of finite groups with only finitely many central units in their integral group ring

On the Prime Graph Question for Almost Simple Groups with an Alternating Socle

Orders of units in integral group rings and blocks of defect $1$