Martino Garonzi

activity

20122025

most citedCovering monolithic groups with proper subgroups

2 citations · 2 across the 14 of their papers we have counts for

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Showing 2022 · math.GRShow all

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math.GR2022

On the maximal number of elements pairwise generating the finite alternating group

Francesco Fumagalli, Martino Garonzi, Pietro Gheri

Let $G$ be the alternating group of degree $n$ . Let $ω (G)$ be the maximal size of a subset $S$ of $G$ such that $⟨ x, y ⟩ = G$ whenever $x, y \in S$ and $x \neq = y$ and le…

math.GR2022

On the diameter of Cayley graphs of classical groups with generating sets containing a transvection

Martino Garonzi, Zoltán Halasi, Gábor Somlai

A well-known conjecture of Babai states that if $G$ is any finite simple group and $X$ is a generating set for $G$ , then the diameter of the Cayley graph $C a y (G, X)$ is bounded by $…