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math.GR2013
On Pyber's base size conjecture
Timothy Burness, Ákos Seress
Let be a permutation group on a finite set . A subset is a base for if the pointwise stabilizer of in is trivial. The base size of , denoted $…
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…