Reversibility and transitivity of semigroup actions on homogeneous spaces
This paper studies reversibility and transitivity of semigroups acting on homogeneous spaces. Properties of the reversor set of a subsemigroup acting on homogeneous spaces are presented. Let G be a topological group and L a subgroup of G. Assume that S is a subsemigroup of G with nonempty interior....
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/302953 |
| Acceso en línea: | http://dx.doi.org/10.4153/S0008414X24001044 https://hdl.handle.net/11449/302953 |
| Access Level: | acceso abierto |
| Palabra clave: | 20M20 22F30 54H15 AMS subject classification |
| Sumario: | This paper studies reversibility and transitivity of semigroups acting on homogeneous spaces. Properties of the reversor set of a subsemigroup acting on homogeneous spaces are presented. Let G be a topological group and L a subgroup of G. Assume that S is a subsemigroup of G with nonempty interior. It is presented a study of the reversibility of the S-Action on <![CDATA[ $G/L$ ]]> in terms of the actions of S and L on homogeneous spaces of G. The results relate the reversibility and the transitivity of S in <![CDATA[ $G/L$ ]]> with the minimality of the action of L on homogeneous spaces of G. In addition, sufficient conditions for S to be right reversible in G if S is reversible in <![CDATA[ $G/L$ ]]> are presented. |
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