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arXiv · 1406.2356

Involutions and their progenies

Tewodros Amdeberhan·Victor H. Moll
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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.

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Tewodros Amdeberhan, Victor H. Moll. 2014-06-09. Involutions and their progenies. https://arxiv.org/abs/1406.2356

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