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math.GR2024
Minimal sized generating sets of permutation groups
Derek F. Holt, Gareth Tracey
We present a randomised variant of an algorithm of Lucchini and Thakkar for finding a smallest sized generating set in a finite group, which has polynomial time expected running ti…
math.GR2024★ 1 cited
Weakly subnormal subgroups and variations of the Baer-Suzuki theorem
Robert M. Guralnick, Hung P. Tong-Viet, Gareth Tracey
A subgroup of a finite group is weakly subnormal in if is not subnormal in but it is subnormal in every proper overgroup of in . In this paper, we first…