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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…