1 citations · 1 across the 3 of their papers we have counts for
4 papers
Non-orientable regular maps with negative prime-power Euler characteristic
Marston Conder, Nick Gill, Jozef Širáň
In this paper we provide a classification of all regular maps on surfaces of Euler characteristic for some odd prime and integer . Such maps are necessarily non-…
Initiating the proof of the Liebeck--Nikolov--Shalev conjecture
Nick Gill, Noam Lifshitz, László Pyber +1
Liebeck, Nikolov, and Shalev conjectured that for every subset A of a finite simple group S with |A|>1, there exist O( log|S| / log|A| ) conjugates of A whose product is S. This pa…
The binary actions of simple groups of Lie type of characteristic 2
Nick Gill, Pierre Guillot, Martin W. Liebeck
Let be a conjugacy class of involutions in a group . We study the graph whose vertices are elements of with conn…
The binary actions of simple groups with a single conjugacy class of involutions
Nick Gill, Pierre Guillot
We continue our investigation of binary actions of simple groups. In this paper, we demonstrate a connection between the graph based on the conjugacy class $\mathc…