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math.GR2025
Non-orientable regular maps with negative prime-power Euler characteristic
Marston Conder, Nick Gill, Jozef Å iráÅ
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-…
math.GR2024
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…