Involutions and their progenies
Combinatorics
2014-06-11 v1
Abstract
Any permutation has a disjoint cycle decomposition and concept generates an equivalence class on the symmetry group called the cycle-type. The main focus of this work is on permutations of restricted cycle-types, with particular emphasis on the special class of involutions and their partial sums. The paper provides generating functions, determinantal expressions, asymptotic estimates as well as arithmetic and combinatorial properties.
Cite
@article{arxiv.1406.2356,
title = {Involutions and their progenies},
author = {Tewodros Amdeberhan and Victor H. Moll},
journal= {arXiv preprint arXiv:1406.2356},
year = {2014}
}