Finite nilpotent semigroups of small coclass
Rings and Algebras
2014-04-17 v1 Group Theory
Abstract
The parameter coclass has been used successfully in the study of nilpotent algebraic objects of different kinds. In this paper a definition of coclass for nilpotent semigroups is introduced and semigroups of coclass 0, 1, and 2 are classified. Presentations for all such semigroups and formulae for their numbers are obtained. The classification is provided up to isomorphism as well as up to isomorphism or anti-isomorphism. Commutative and self-dual semigroups are identified within the classification.
Cite
@article{arxiv.1205.2817,
title = {Finite nilpotent semigroups of small coclass},
author = {Andreas Distler},
journal= {arXiv preprint arXiv:1205.2817},
year = {2014}
}
Comments
11 pages