Combinatorics and distributions of partial injections

Details Combinatorics and distributions of partial injections Combinatorics and distributions of partial injections

2005-11-17

arxiv.org/abs/math/0511431v1

Australas. J. Combin. 34 (2006), 161-186

Mathematics

Combinatorics

27pages

Scientific paper

We obtain several combinatorial results about chains, cycles and orbits of
the elements of the symmetric inverse semigroup $\IS_n$ and the set $T_n$ of
nilpotent elements in $\IS_n$. We also get some estimates for the growth of
$|\IS_n|$ and $|T_n|$, and study random products of elements from $\IS_n$.

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