13 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
Constructing Hopf-Galois structures and skew bracoids of small degree
Andrew Darlington, Eamonn O'Brien
Using the fact that Hopf-Galois structures on separable extensions and skew bracoids are both intrinsically connected to transitive subgroups of the holomorph of a finite group, we…
Deciding finiteness of matrix groups in positive characteristic
A. S. Detinko, D. L. Flannery, E. A. O'Brien
We present a new algorithm to decide finiteness of matrix groups defined over a field of positive characteristic. Together with previous work for groups in zero characteristic, thi…
Presentations on standard generators for classical groups
C. R. Leedham-Green, E. A. O'Brien
For each family of finite classical groups, and their associated simple quotients, we provide an explicit presentation on a specific generating set of size at most 8. Since there e…
Recognition of finite exceptional groups of Lie type
Martin W. Liebeck, E. A. O'Brien
Let be a prime power and let be an absolutely irreducible subgroup of , where is a finite field of the same characteristic as $\F_q$, the field of elements…