Diego Rattaggi

collaborators

6 papers

math.GR2005

Abelianization conjectures for some arithmetic square complex groups

Diego Rattaggi

We extend a conjecture of Kimberley-Robertson on the abelianizations of certain square complex groups.

math.GR2005

An incoherent simple group

Diego Rattaggi

We give an example of a finitely presented simple group containing a finitely generated subgroup which is not finitely presented.

math.GR2005

Three amalgams with remarkable normal subgroup structures

Diego Rattaggi

We construct three groups $Λ_{1}$ , $Λ_{2}$ , $Λ_{3}$ , which can all be decomposed as amalgamated products $F_{9} *_{F_{81}} F_{9}$ and have very few normal subgroups of finite or infinit…

math.GR2005

On infinite groups generated by two quaternions

Diego Rattaggi

Let $x$ , $y$ be two integral quaternions of norm $p$ and $l$ , respectively, where $p$ , $l$ are distinct odd prime numbers. We investigate the structure of $< x, y >$ , the multiplicati…

math.GR2004

A finitely presented torsion-free simple group

Diego Rattaggi

We construct a finitely presented torsion-free simple group $Σ_{0}$ , acting cocompactly on a product of two regular trees. An infinite family of such groups has been introduced by Bu…

math.GR2004

Anti-tori in square complex groups

Diego Rattaggi

An anti-torus is a subgroup $< a, b >$ in the fundamental group of a compact non-positively curved space $X$ , acting in a specific way on the universal covering space $X ~$ such…