Denote by m(G) the largest size of a minimal generating set of a finite group G. We estimate m(G) in terms of Σpϵπ(G) dp(G), where we are denoting by dp(G) the minimal number of generators of a Sylow p-subgroup of G and by π(G) the set of prime numbers dividing the order of G.

Lucchini, A., Moscatiello, M., Spiga, P. (2021). Bounding the maximal size of independent generating sets of finite groups. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 151(1), 133-150 [10.1017/prm.2020.6].

Bounding the maximal size of independent generating sets of finite groups

Spiga P.
2021

Abstract

Denote by m(G) the largest size of a minimal generating set of a finite group G. We estimate m(G) in terms of Σpϵπ(G) dp(G), where we are denoting by dp(G) the minimal number of generators of a Sylow p-subgroup of G and by π(G) the set of prime numbers dividing the order of G.
Articolo in rivista - Articolo scientifico
Generating sets; Number of generators;
English
24-gen-2020
2021
151
1
133
150
open
Lucchini, A., Moscatiello, M., Spiga, P. (2021). Bounding the maximal size of independent generating sets of finite groups. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 151(1), 133-150 [10.1017/prm.2020.6].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/345880
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