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The probability of generating a finite simple group

โœ Scribed by Martin W. Liebeck; Aner Shalev


Publisher
Springer
Year
1995
Tongue
English
Weight
585 KB
Volume
56
Category
Article
ISSN
0046-5755

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๐Ÿ“œ SIMILAR VOLUMES


The probability of generating a finite c
โœ William M. Kantor; Alexander Lubotzky ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 954 KB

Two randomly chosen elements of a finite simple classical group G are shown to generate G with probability --\* 1 as IGI ~ co. Extensions of this result are presented, along with applications to profinite groups.

Random Generation of Finite Simple Group
โœ Robert M. Guralnick; Martin W. Liebeck; Jan Saxl; Aner Shalev ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB
Probabilistic Generation of Finite Simpl
โœ Robert M. Guralnick; William M. Kantor ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

For each finite simple group G there is a conjugacy class C such that each G nontrivial element of G generates G together with any of more than 1r10 of the members of C . Precise asymptotic results are obtained for the probability implicit G in this assertion. Similar results are obtained for almost