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Listar por autor "Viruel-Arbaizar, Antonio Ángel"
Mostrando ítems 1-5 de 5
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Braid of braids groups and evolution algebras.
Ligouras, Panagiote (UMA Editorial, 2024)The purpose of this Thesis is to develop the theory of braid of braids and twin of twin groups. We investigate some of their fundamental structural aspects in detail. We will attach particular importance to the reduced ... -
Groups as automorphisms of dessins d’enfants
Cañas Muñoz, Alejandro; Hidalgo, Rubén A.; Turiel-Sandín, Francisco Javier; Viruel-Arbaizar, Antonio Ángel (Springer, 2022-08-01)It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we give a constructive and easy proof that the same holds for any countable ... -
Realisability problems in Algebraic Topology
Mendez Martinez, David (UMA Editorial, 2020-02-24)Realisability problems in Algebraic Topology are very easy to state and extremely hard to solve. Three classic examples of this are: the realisability of cohomology algebras, proposed by N. E. Steenrod in the 1960s, which ... -
Smooth actions of connected compact Lie groups with a free point are determined by two vector fields
Turiel-Sandín, Francisco Javier; Viruel-Arbaizar, Antonio Ángel (Elsevier, 2024-04-10)Consider a smooth action of a compact connected Lie group G on a connected manifold M. Assume the existence of a point of M whose isotropy group has a single element (a free point). Then we prove that there exist two ... -
The Achievement Set of Generalized Multigeometric Sequences
Karvatskyi, Dmytro; Murillo-Mas, Aniceto; Viruel-Arbaizar, Antonio Ángel (Springer, 2024-04-13)We study the topology of all possible subsums of the generalized multigeometric series where are fixed positive real numbers and f runs along a certain class of non-negative functions on the unit interval. We detect ...