In this paper we study those generic intervals in the Bruhat order of#R##N#the symmetric group that are isomorphic to the principal order ideal#R##N#of a permutation  w , and consider when the minimum and#R##N#maximum elements of those intervals are related by a certain property#R##N#of their reduced words. We show that the property does not hold when#R##N# w  is a decomposable permutation, and that the property#R##N#always holds when  w  is the longest permutation.
['Bridget Eileen Tenner']
Intervals and factors in the Bruhat order