Daniele Garzoni

activity

20172026

most citedRandom generation with cycle type restrictions

3 citations · 10 across the 15 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.GR2020

Large minimal invariable generating sets in the finite symmetric groups

Daniele Garzoni, Nick Gill

For a finite group $G$ , let $m_{I} (G)$ denote the largest possible cardinality of a minimal invariable generating set of $G$ . We prove an upper and a lower bound for $m_{I} (S_{n})$ , whic…

math.GR2020★ 1 cited

On the number of conjugacy classes of a primitive permutation group with nonabelian socle

Daniele Garzoni, Nick Gill

Let $G$ be a primitive permutation group of degree $n$ with nonabelian socle, and let $k (G)$ be the number of conjugacy classes of $G$ . We prove that either $k (G) < n /2$ and $k(G)=o(…

math.GR2020

Connected components in the invariably generating graph of a finite group

Daniele Garzoni

We prove that the invariably generating graph of a finite group can have an arbitrarily large number of connected components with at least two vertices.

math.GR2020★ 1 cited

On the probability of generating invariably a finite simple group

Daniele Garzoni, Eilidh McKemmie

Let $G$ be a finite simple group. In this paper we consider the existence of small subsets $A$ of $G$ with the property that, if $y \in G$ is chosen uniformly at random, then with…