Assume that all the Sylow subgroups of a finite group G can be generated by d elements. Then the expected number of elements of G which have to be drawn at random, with replacement, before a set of generators is found, is at most d+ η with η∼ 2.875065 .
A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated
LUCCHINI, ANDREA
2016
Abstract
Assume that all the Sylow subgroups of a finite group G can be generated by d elements. Then the expected number of elements of G which have to be drawn at random, with replacement, before a set of generators is found, is at most d+ η with η∼ 2.875065 .
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