Let G be a finite group; there exists a uniquely determined Dirichlet polynomial P(G,s) such that if t is a positive integer, then P(G,t) gives the probability of generating G with t randomly chosen elements. We show that it may be recognized from the knowledge of P(G,s) whether G/Frat(G) iis a simple group.
The probabilistic zeta function of finite simple groups
LUCCHINI, ANDREA;
2007
Abstract
Let G be a finite group; there exists a uniquely determined Dirichlet polynomial P(G,s) such that if t is a positive integer, then P(G,t) gives the probability of generating G with t randomly chosen elements. We show that it may be recognized from the knowledge of P(G,s) whether G/Frat(G) iis a simple group.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
sdarticle.pdf
Accesso riservato
Tipologia:
Published (Publisher's Version of Record)
Licenza:
Accesso privato - non pubblico
Dimensione
186.91 kB
Formato
Adobe PDF
|
186.91 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
