Alice C. Niemeyer

activity

20172019

most citedA Finite Soluble Quotient Algorithm

13 citations · 18 across the 4 of their papers we have counts for

collaborators

6 papers

math.CO2019

A family of hemisystems on the parabolic quadrics

Jesse Lansdown, Alice C. Niemeyer

We constuct a family of hemisystems of the parabolic quadric $Q (2 d, q)$ , for all ranks $d \geq 2$ and all odd prime powers $q$ , that admit $Ω_{3} (q) ≅ PSL_{2} (q)$ …

math.GR2019

The icosahedra of edge length 1

Karl-Heinz Brakhage, Alice C. Niemeyer, Wilhelm Plesken +2

Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular (planar) triangles, the 30 edges of length 1, and the 12 different vertices toge…

math.GR2019★ 2 cited

Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules

Alice C. Niemeyer, Sabina B. Pannek, Cheryl E. Praeger

We call an element of a finite general linear group $GL (d, q)$ \emph{fat} if it leaves invariant, and acts irreducibly on, a subspace of dimension greater than $d /2$ . Fat…

math.GR2018★ 13 cited

A Finite Soluble Quotient Algorithm

Alice C. Niemeyer

An algorithm for computing power conjugate presentations for finite soluble quotients of predetermined structure of finitely presented groups is described. Practical aspects of an…

math.GR2017

On the second-largest Sylow subgroup of a finite simple group of Lie type

S. P. Glasby, Alice C. Niemeyer, Tomasz Popiel

Let $T$ be a finite simple group of Lie type in characteristic $p$ , and let $S$ be a Sylow subgroup of $T$ with maximal order. It is well known that $S$ is a Sylow $p$ -subgroup exc…

math.GR2017★ 3 cited

On permutations of order dividing a given integer

Alice C. Niemeyer, Cheryl E. Praeger

We give a detailed analysis of the proportion of elements in the symmetric group on $n$ points whose order divides $m$ , for $n$ sufficiently large and $m \geq n$ with $m = O (n)$ .