Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
Year: 2026
Type: preprint
Abstract: The rank of a semigroup is the cardinality of a smallest generating set. In this paper, we introduce iterated wreath products of transformation semigroups. We determine the rank of iterated wreath products of full transformation monoids and symmetric groups.
Source: arXiv (Cornell University)
Author: Lu, Jiaping
Institution: University of St Andrews
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213585149