5 citations · 15 across the 4 of their papers we have counts for
7 papers
Orders of units in integral group rings and blocks of defect
Mauricio Caicedo, Leo Margolis
We show that if the Sylow -subgroup of a finite group is of order , then the normalized unit group of the integral group ring of contains a normalized unit of order $…
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…
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…
On the Prime Graph Question for Almost Simple Groups with an Alternating Socle
Andreas Bächle, Mauricio Caicedo
Let be an almost simple group with socle , the alternating group of degree . We prove that there is a unit of order in the integral group ring of if and only i…
A classification of exceptional components in group algebras over abelian number fields
Andreas Bächle, Mauricio Caicedo, Inneke Van Gelder
When considering the unit group of ( the ring of integers of an abelian number field and a finite group ) certain components in the Wedderbu…
On the Congruence Subgroup Problem for integral group rings
Mauricio Caicedo, Ángel del Río
Let be a finite group, the integral group ring of and $\U(\Z G)$ the group of units of . The Congruence Subgroup Problem for $\U(\Z G)$ is the problem of decid…
Zassenhaus conjecture for cyclic-by-abelian groups
Mauricio Caicedo, Leo Margolis, Ángel del Río
Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units…