2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.CO2014★ 2 cited
Element order versus minimal degree in permutation groups: an old lemma with new applications
László Babai, Ákos Seress
In this note we present a simplified and slightly generalized version of a lemma the authors published in 1987. The lemma as stated here asserts that if the order of a permutation…
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…