A combinatorial approach to the power of 2 in the number of involutions

Details A combinatorial approach to the power of 2 in the number of involutions A combinatorial approach to the power of 2 in the number of involutions

2009-02-25

arxiv.org/abs/0902.4311v2

J. Combin. Theory Ser. A, 117(8), 1082-1094, 2010

Mathematics

Combinatorics

13 pages

Scientific paper

We provide a combinatorial approach to the largest power of $p$ in the number
of permutations $\pi$ with $\pi^p=1$, 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.

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