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abstract = {A set of generating relations of the full transformation semigroup Σn consisting of all mappings of the set Ω = {1, …, n} into itself with respect to a natural system of generators {γji, σji} (defined in Section 1) is given. The set of relations (1)∼(15) given in Section 1 turns out to be a set of generating relations.}
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}
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@misc{Mitchell2024aa,
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arxiv = {2406.19294},
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author = {Mitchell, James D. and Whyte, Murray T.},
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archivePrefix={arXiv},
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month = {06},
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title = {Short presentations for transformation monoids},
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url = {https://arxiv.org/abs/2406.19294},
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year = {2024}
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}
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@article{Shutov1960aa,
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author = {Shutov, {\'E}. G.},
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title = {Defining relations in finite semigroups of partial transformations},
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fjournal = {Soviet Mathematics. Doklady},
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journal = {Sov. Math., Dokl.},
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issn = {0197-6788},
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volume = {1},
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pages = {784--786},
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year = {1960},
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language = {English},
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zbmath = {3165573},
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zbl = {0101.25901}
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}
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@phdthesis{Gay2018aa,
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title = {{Representation of Monoids and Lattice Structures in the Combinatorics of Weyl Groups}},
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author = {Gay, Jo{\"e}l},
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url = {https://theses.hal.science/tel-01861199},
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number = {2018SACLS209},
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school = {{Universit{\'e} Paris Saclay (COmUE)}},
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year = {2018},
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month = Jun,
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keywords = {Theoretical computer science ; Algebraic and geometric combinatorics ; Algorithm ; Representation of groups and monoids ; Combinatorics of permutations; trees and tableaux ; Polytope theory ; Informatique fondamentale ; Combinatoire alg{\'e}brique et g{\'e}om{\'e}trique ; Algorithmique ; Repr{\'e}sentations de groupe et des mono{\"i}des ; Combinatoire des permutations; des arbres et des tableaux ; Th{\'e}orie des polytopes},
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type = {Theses},
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pdf = {https://theses.hal.science/tel-01861199v1/file/76316_GAY_2018_archivage.pdf},
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hal_id = {tel-01861199},
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hal_version = {v1}
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}
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@article{Campbell1980aa,
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author = {Campbell, C. M. and Robertson, E. F.},
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doi = {10.1112/blms/12.1.17},
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journal = {Bulletin of the London Mathematical Society},
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pages = {17–20},
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publisher = {Wiley},
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title = {A Deficiency Zero Presentation for SL(2, p)},
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volume = {12},
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year = {1980}
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}
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@article{Novelli2000aa,
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title = {On the hypoplactic monoid},
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journal = {Discrete Mathematics},
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volume = {217},
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number = {1},
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pages = {315-336},
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year = {2000},
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issn = {0012-365X},
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doi = {https://doi.org/10.1016/S0012-365X(99)00270-8},
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