Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895880 | Journal of Algebra | 2018 | 58 Pages |
Abstract
This paper discusses upper bounds on the minimal number of elements d(G) required to generate a transitive permutation group G, in terms of its degree n, and its order |G|. In particular, we reduce a conjecture of L. Pyber on the number of subgroups of the symmetric group Sym(n). We also prove that our bounds are best possible.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gareth M. Tracey,