15 citations · 18 across the 3 of their papers we have counts for
3 papers
math.GR2012
Bounds on the diameter of Cayley graphs of the symmetric group
John Bamberg, Nick Gill, Thomas Hayes +3
In this paper we are concerned with the conjecture that, for any set of generators S of the symmetric group of degree n, the word length in terms of S of every permutation is bound…
math.GR2012★ 3 cited
Orientable regular maps with Euler characteristic divisible by few primes
Nick Gill
Let be a -group and let be the number of distinct primes dividing , the Euler characteristic of . We prove, first, that, apart from a finite number of known…
math.DS2007★ 15 cited
Reversibility in the group of homeomorphisms of the circle
Nick Gill, Anthony G. O'Farrell, Ian Short
We identify those elements of the homeomorphism group of the circle that can be expressed as a composite of two involutions.