S. Glasby

activity

20032025

most citedModules induced from a normal subgroup of prime index

4 citations · 19 across the 29 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.GR2018

Involution centralisers in finite unitary groups of odd characteristic

S. P. Glasby, Cheryl E. Praeger, Colva M. Roney-Dougal

We analyse the complexity of constructing involution centralisers in unitary groups over fields of odd order. In particular, we prove logarithmic bounds on the number of random ele…

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…

math.GR2018★ 2 cited

The shape of solvable groups with odd order

S. P. Glasby

We prove that the minimal composition length, $c$ , of a solvable group with solvable length $d$ satisfies $9^{(d - 3) /9} < c < 9^{(d + 1) /5}$ , and the minimal composition length, $c^{o}$ ,…