3 citations · 10 across the 13 of their papers we have counts for
7 papers · 1 filter
Constructive homomorphisms for classical groups
Scott H. Murray, Colva M. Roney-Dougal
Let Omega be a quasisimple classical group in its natural representation over a finite vector space V, and let Delta be its normaliser in the general linear group. We construct the…
Constructive membership testing in black-box classical groups
Sophie Ambrose, Scott H. Murray, Cheryl E. Praeger +1
The research described in this note aims at solving the constructive membership problem for the class of quasisimple classical groups. Our algorithms are developed in the black-box…
Fundamental domains for congruence subgroups of SL2 in positive characteristic
Lisa Carbone, Leigh Cobbs, Scott H. Murray
In this work, we construct fundamental domains for congruence subgroups of and . Our method uses Gekeler's description of the fundamental domains on t…
Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups
Scott H. Murray, Neil Saunders
The minimal faithful permutation degree of a finite group , denote by is the least non-negative integer such that embeds inside the symmetric group $\Sym(n)$. In…
Computing in unipotent and reductive algebraic groups
Arjeh M. Cohen, Sergei Haller, Scott H. Murray
The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We…
Algorithm for Lang's Theorem
Arjeh M. Cohen, Scott H. Murray
We give an efficient algorithm for Lang's Theorem in split connected reductive groups defined over finite fields of characteristic greater than 3. This algorithm can be used to con…