Geodesic
Comparing the expected number of random elements from the symmetric and the alternating groups needed to generate a transitive subgroup
Ars Mathematica Contemporanea, Tome 16 (2019) no. 1, pp. 237-244.

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Given a transitive permutation group of degree n, we denote by eT(G) the expected number of elements of G which have to be drawn at random, with replacement, before a set of generators of a transitive subgroup of G is found. We compare eT(Sym(n)) and eT(Alt(n)).
DOI : 10.26493/1855-3974.1664.4b6
Keywords: Transitive groups, generation, expectation 
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Andrea Lucchini; Mariapia Moscatiello. Comparing the expected number of random elements from the symmetric and the alternating groups needed to generate a transitive subgroup. Ars Mathematica Contemporanea, Tome 16 (2019) no. 1, pp. 237-244. doi : 10.26493/1855-3974.1664.4b6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1664.4b6/

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