English

Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$

Combinatorics 2020-06-30 v1 Group Theory

Abstract

We study some combinatorial properties of partial wreath kk-th power of the semigroup ISd\mathcal{IS}_d. In particular, we calculate its order, the number of idempotents and the number of D-classes.

Keywords

Cite

@article{arxiv.2006.15564,
  title  = {Combinatorics of partial wreath power of finite inverse symmetric semigroup $\mathcal{IS}_d$},
  author = {Eugenia Kochubinska},
  journal= {arXiv preprint arXiv:2006.15564},
  year   = {2020}
}