M. Pellegrini

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math.GR2025

Unisingular representations of rank 1 finite simple groups of Lie type

Marco Antonio Pellegrini, Lorenzo Schena

A representation $Φ : G \to GL_{n} (F)$ of a finite group $G$ is called unisingular if the matrix $Φ (g)$ admits $1$ as an eigenvalue for any $g \in G$ . In this paper,…

math.GR2025

Minimal generation of finite simple groups of Lie type by regular unipotent elements

M. A. Pellegrini, A. E. Zalesski

We prove that every finite simple group of Lie type $G$ can be generated by three regular unipotent elements. In certain cases we show that two regular unipotents are sufficient to…

math.GR2010

Hurwitz generation of the universal covering of Alt(n)

M. A. Pellegrini M. C. Tamburini

We prove that the universal covering of an alternating group Alt(n) which is Hurwitz is still Hurwitz, with 31 exceptions, 30 of which are detectable by the genus formula.