On the Number of Factorizations of a Full Cycle

Details On the Number of Factorizations of a Full Cycle On the Number of Factorizations of a Full Cycle

2005-10-17

arxiv.org/abs/math/0510362v1

J. Combin. Theory Ser A., 113 (2006), 1549-1554

Mathematics

Combinatorics

5 pages, 0 figures

Scientific paper

We give a new expression for the number of factorizations of a full cycle
into an ordered product of permutations of specified cycle types. This is done
through purely algebraic means, extending work of Biane. We deduce from our
result a formula of Poulalhon and Schaeffer that was previously derived through
an intricate combinatorial argument.

Affiliated with

Also associated with

No associations

Rating

On the Number of Factorizations of a Full Cycle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Number of Factorizations of a Full Cycle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Number of Factorizations of a Full Cycle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194303