We prove that for any real number 0 < alpha < 1, there exists a constant c(alpha) such that the probability of generating a finite group G with [d(G) + c(alpha) log log \G\ log log log \G\] elements is at least alpha.
How many elements are needed to generate a finite group with good probability? / Detomi, E; Lucchini, A; Morini, F. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - 132:1(2002), pp. 29-44. [10.1007/BF02784504]
How many elements are needed to generate a finite group with good probability?
Morini, F
2002-01-01
Abstract
We prove that for any real number 0 < alpha < 1, there exists a constant c(alpha) such that the probability of generating a finite group G with [d(G) + c(alpha) log log \G\ log log log \G\] elements is at least alpha.File in questo prodotto:
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