Some Contributions to the Theory of Transformation Monoids
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Some Contributions to the Theory of Transformation Monoids

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Some Contributions to the Theory of Transformation Monoids

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dc.contributor.author Ballester-Bolinches, Adolfo
dc.contributor.author Cosme i Llópez, Enric
dc.contributor.author Jiménez-Seral, P.
dc.date.accessioned 2019-02-27T14:55:56Z
dc.date.available 2019-02-27T14:55:56Z
dc.date.issued 2019
dc.identifier.uri http://hdl.handle.net/10550/69208
dc.description.abstract The aim of this paper is to present some contributions to the theory of finite transformation monoids. The dominating influence that permutation groups have on transformation monoids is used to describe and characterise transitive transformation monoids and primitive transitive transformation monoids. We develop a theory that not only includes the analogs of several important theorems of the classical theory of permutation groups but also contains substantial information about the algebraic structure of the transformation monoids. Open questions naturally arising from the substantial paper of Steinberg [A theory of transformation monoids: combinatorics and representation theory. Electron. J. Combin. 17 (2010), no. 1, Research Paper 164, 56 pp] have been answered. Our results can also be considered as a further development in the hunt for a solution of the Černý conjecture.
dc.language.iso eng
dc.relation.ispartof Journal of Algebra, 2019, vol. 522, p. 31-60
dc.rights.uri info:eu-repo/semantics/openAccess
dc.source Ballester-Bolinches, Adolfo Cosme i Llópez, Enric Jiménez-Seral, P. 2019 Some Contributions to the Theory of Transformation Monoids Journal of Algebra 522 31 60
dc.subject Àlgebra
dc.title Some Contributions to the Theory of Transformation Monoids
dc.type info:eu-repo/semantics/article
dc.date.updated 2019-02-27T14:55:58Z
dc.identifier.doi https://doi.org/10.1016/j.jalgebra.2018.12.005
dc.identifier.idgrec 128952
dc.embargo.terms 22 months
dc.embargo.liftdate 2020-10-20

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