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Denote by m(G) the largest size of a minimal generating set of a finite group G. We estimate m(G) in terms of 
$\sum _{p\in \pi (G)}d_p(G),$ 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.
