Scott Harper

activity

20172026

\frac{3}{2}

-generated groups

6 citations · 8 across the 8 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.GR2018

Finite groups, 2-generation and the uniform domination number

Timothy C. Burness, Scott Harper

Let $G$ be a finite $2$ -generated non-cyclic group. The spread of $G$ is the largest integer $k$ such that for any nontrivial elements $x_{1}, \dots, x_{k}$ , there exists $y \in G$ su…

math.GR2018

The distinguishing number of quasiprimitive and semiprimitive groups

Alice Devillers, Scott Harper, Luke Morgan

The distinguishing number of $G \leqslant \sym(Ω)$ is the smallest size of a partition of $Ω$ such that only the identity of $G$ fixes all the parts of the partition. Extending ear…

math.CO2018

Permutations with orders coprime to a given integer

John Bamberg, S. P. Glasby, Scott Harper +1

Let $m$ be a positive integer and let $ρ (m, n)$ be the proportion of permutations of the symmetric group $Sym (n)$ whose order is coprime to $m$ . In 2002, Pouyanne proved that…