Alice C. Niemeyer

activity

20242026

collaborators

5 papers

math.GR2026

The probability that two elements with large $1$ -eigenspaces generate a classical group

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger

With high probability, among $O (lo g n)$ independent randomly selected elements from a finite $n$ -dimensional classical group, some pair of elements power to a $2$ -element generati…

math.GR2025

Bipartite $q$ -Kneser graphs and two-generated irreducible linear groups

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger

Let $V := (F_{q})^{d}$ be a $d$ -dimensional vector space over the field $F_{q}$ of order $q$ . Fix positive integers $e_{1}, e_{2}$ satisfying $e_{1} + e_{2} = d$ . Motivated by analysi…

math.RT2024

Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger +1

This paper is concerned with absolutely irreducible quasisimple subgroups $G$ of a finite general linear group $G L_{d} (F_{q})$ for which some element $g \in G$ of prime order $…

math.GR2024

Constructive Recognition of Special Linear Groups

Max Horn, Alice Niemeyer, Cheryl Praeger +1

We introduce a new constructive recognition algorithm for finite special linear groups in their natural representation. Given a group $G$ generated by a set of $d \times d$ matrices…

cs.DS2024

Showcasing straight-line programs with memory via matrix Bruhat decomposition

Alice C. Niemeyer, Tomasz Popiel, Cheryl E. Praeger +1

We suggest that straight-line programs designed for algebraic computations should be accompanied by a comprehensive complexity analysis that takes into account both the number of f…

The probability that two elements with large 1-eigenspaces generate a classical group

Bipartite q-Kneser graphs and two-generated irreducible linear groups

Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

Constructive Recognition of Special Linear Groups

Showcasing straight-line programs with memory via matrix Bruhat decomposition

The probability that two elements with large $1$ -eigenspaces generate a classical group

Bipartite $q$ -Kneser graphs and two-generated irreducible linear groups