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- W1982593294 abstract "In this paper we give answers to some open questions concerning generation and enumeration of finite transitive permutation groups. In [1], Bryant, Kovács and Robinson proved that there is a number c′ such that each soluble transitive permutation group of degree n⩾2 can be generated by [ c ′ n / l o g n ] elements, and later A. Lucchini [5] extended this result (with a different constant c′) to finite permutation groups containing a soluble transitive subgroup. We are now able to prove this theorem in full generality, and this solves the question of bounding the number of generators of a finite transitive permutation group in terms of its degree. The result obtained is the following. 1991 Mathematics Subject Classification 20B05, 20D60." @default.
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- W1982593294 date "2000-03-01" @default.
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- W1982593294 title "Asymptotic Results for Transitive Permutation Groups" @default.
- W1982593294 doi "https://doi.org/10.1112/s0024609399006591" @default.
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