PreprintCC BY 4.0arXiv
Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
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.
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BibTeX
@misc{lu2026generation,
title = {{Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups}},
author = {Jiaping Lu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20521},
eprint = {2609.20521},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20521},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
AU - Jiaping Lu
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.20521
UR - https://arxiv.org/abs/2609.20521
AB - 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.
ER -