Article ID Journal Published Year Pages File Type
4655914 Journal of Combinatorial Theory, Series A 2010 13 Pages PDF
Abstract

We provide a combinatorial approach to the largest power of p in the number of permutations π with πp=1, for a fixed prime number p. With this approach, we find the largest power of 2 in the number of involutions, in the signed sum of involutions and in the numbers of even or odd involutions.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics