Andrea Lucchini

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20232026

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Showing 2024 · math.GRShow all

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math.GR2024

The Chebotarev invariant for direct products of nonabelian finite simple groups

Jessica Anzanello, Andrea Lucchini, Gareth Tracey

A subset ${g_{1}, \dots, g_{d}}$ of a finite group $G$ invariably generates $G$ if ${g_{1}^{x_{1}}, \dots, g_{d}^{x_{d}}}$ generates $G$ for every choice of $x_{i} \in G$ . The Chebotarev…

math.GR2024

$p$ -elements in profinite groups

Andrea Lucchini, Nowras Otmen

We investigate some properties of the $p$ -elements of a profinite group $G$ . We prove that if $p$ is odd and the probability that a randomly chosen element of $G$ is a $p$ -element…

The Chebotarev invariant for direct products of nonabelian finite simple groups

p-elements in profinite groups

$p$ -elements in profinite groups