Gareth Tracey

activity

20152026

most citedOn the generalized Fitting height and insoluble length of finite groups

6 citations · 17 across the 17 of their papers we have counts for

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math.GR2015

Generating minimally transitive permutation groups

Gareth M. Tracey

We improve the upper bounds (in terms of $n$ ) in [9] and [13] on the minimal number of elements required to generate a minimally transitive permutation group of degree $n$ .

math.GR2015

Minimal generation of transitive permutation groups

Gareth M. Tracey

It is proved in [21] that there is a constant $c$ such that each transitive permutation group of degree $d \geq 2$ can be generated by $⌊ c d / lo g d ⌋$ elements. In…