Eloisa Detomi

activity

20142022

most citedInvariable generation with elements of coprime prime-power order

2 citations · 2 across the 5 of their papers we have counts for

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math.GR2022

Strongly generating elements in finite and profinite groups

Eloisa Detomi, Andrea Lucchini

Given a finite group $G$ and an element $g \in G$ , we may compare the expected number $e (G)$ of elements needed to generate $G$ and the expected number $e (G, g)$ of elements of $G$ n…

math.GR2015

On the length of a finite group and of its 2-generator subgroups

Eloisa Detomi, Pavel Shumyatsky

The nonsoluble length $λ (G)$ of a finite group $G$ is defined as the minimum number of nonsoluble factors in a normal series of $G$ each of whose quotients either is soluble or is…

math.GR2014

Coprime invariable generation and minimal-exponent groups

Eloisa Detomi, Andrea Lucchini, Colva M. Roney-Dougal

A finite group $G$ is \emph{coprimely-invariably generated} if there exists a set of generators ${g_{1}, ..., g_{u}}$ of $G$ with the property that the orders $∣ g_{1} ∣, ..., ∣ g_{u} ∣$ are…

math.GR2014

Invariable generation of prosoluble groups

Eloisa Detomi, Andrea Lucchini

A group $G$ is invariably generated by a subset $S$ of $G$ if $G = s^{g (s)} ∣ s \in S$ for each choice of $g (s) \in G$ , $s \in S$ . Answering two questions posed by Kantor, Lubotzk…

math.GR2014★ 2 cited

Invariable generation with elements of coprime prime-power order

Eloisa Detomi, Andrea Lucchini

A finite group $G$ is coprimely-invariably generated if there exists a set of generators ${g_{1}, \dots, g_{d}}$ of $G$ with the property that the orders $∣ g_{1} ∣, \dots, ∣ g_{d} ∣$ are…