Document Type
Article
Publication Date
5-1997
Abstract
The group equation abcdef = dabecf can be reduced to the equation xcde = dxec. In general, we are interested in how many variables are needed to represent group equations in which the right side is a permutation of the variables on the left side. Scrambling numbers capture this information about a permutation. In this paper we present several facts about scrambling numbers, and expose a striking relationship between permutations that cannot be reduced and derangements.
Recommended Citation
Balof, Barry; Farmer, Eric; and Kawabata, Jamie, "The Link between Scrambling Numbers and Derangements" (1997). Mathematical Sciences Technical Reports (MSTR). 70.
https://scholar.rose-hulman.edu/math_mstr/70
Comments
MSTR 97-02