We study the asymptotic behavior of the probability of generating a finite completely reducible linear group G of degree n with [ba n] elements. In particular we prove that if b > 3/2 and n is large enough then [b n] randomly chosen elements that generate G modulo O^2(G) almost certainly generate G itself.

The probability of generating a finite linear group

LUCCHINI, ANDREA;
2004

Abstract

We study the asymptotic behavior of the probability of generating a finite completely reducible linear group G of degree n with [ba n] elements. In particular we prove that if b > 3/2 and n is large enough then [b n] randomly chosen elements that generate G modulo O^2(G) almost certainly generate G itself.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2481470
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact