Luca Sabatini

activity

20232026

most citedOn stabilizers in finite permutation groups

1 citations · 2 across the 11 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.GR2025

Groups that produce expander graphs

Luca Sabatini

We survey the known group properties that a sequence of finite groups or group actions needs to satisfy to admit subsets of bounded cardinality producing expander Cayley or Schreie…

math.GR2025

Exponent and number of generators in a finite group

Luca Sabatini

We present a sharp upper bound for the number of generators of a finite group in terms of the ratio between the order and the exponent.

math.GR2025

Probabilistic construction of some extremal $p$ -groups

Sean Eberhard, Luca Sabatini

A $p$ -group $G$ is called *ab-maximal* if $∣ H : H^{'} ∣ < ∣ G : G^{'} ∣$ for every proper subgroup $H$ of $G$ . Similarly, $G$ is called * $d$ -maximal* if $d (H) < d (G)$ for every proper subgrou…

Groups that produce expander graphs

Exponent and number of generators in a finite group

Probabilistic construction of some extremal p-groups

Probabilistic construction of some extremal $p$ -groups