Alena Ernst

most citedIntersection theorems for finite general linear groups

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2026

Generalising Latin square orthogonality and Frobenius-König with alternating sign matrices

Alena Ernst, Stefano Lia, Cian O'Brien +2

The theory of Latin squares has a long history. While the objects themselves appeared earlier, the study of their general mathematical theory dates back to Euler in the 18th centur…

math.GR2022

Transitivity in finite general linear groups

Alena Ernst, Kai-Uwe Schmidt

It is known that the notion of a transitive subgroup of a permutation group $G$ extends naturally to subsets of $G$ . We consider subsets of the general linear group $\operatorname{…

math.CO2022★ 3 cited

Intersection theorems for finite general linear groups

Alena Ernst, Kai-Uwe Schmidt

A subset $Y$ of the general linear group $GL (n, q)$ is called $t$ -intersecting if $rk (x - y) \leq n - t$ for all $x, y \in Y$ , or equivalently $x$ and $y$ agre…