Listar por autor "Viruel-Arbaizar, Antonio Ángel"
Mostrando ítems 1-9 de 9
-
Automorphism groups of Cayley evolution algebras
Costoya Ramos, María Cristina; Muñoz, Vicente; Tocino-Sánchez, Alicia
; Viruel-Arbaizar, Antonio Ángel (Springer Nature, 2023)
In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field k contains sufficiently many elements (for example if k is infinite) then every finite group ... -
Braid of braids groups and evolution algebras.
(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 ... -
Finite sets containing zero are mapping degree sets
Costoya Ramos, María Cristina; Muñoz, Vicente; Viruel-Arbaizar, Antonio Ángel (Elsevier, 2024)
In this paper we solve in the positive the question of whether any finite set of integers, containing 0, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this ... -
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 ... -
Path partial groups
Díaz-Ramos, Antonio; Molinier, Rémi; Viruel-Arbaizar, Antonio Ángel (Springer Nature, 2025-06-13)
It is well known that not every finite group arises as the full automorphism group of some group. Here we show that the situation is dramatically different when considering the category of partial groups, Part, as defined ... -
Realisability problems in Algebraic Topology
(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 ... -
Regular evolution algebras are universally finite.
Costoya Ramos, María Cristina; Ligouras, Panagiote; Tocino-Sánchez, Alicia; Viruel-Arbaizar, Antonio Ángel (AMS, 2021-12-14)
In this paper we show that evolution algebras over any given field k are universally finite. In other words, given any finite group G, there exist infinitely many regular evolution algebras X such that Aut(X) ∼= G. The ... -
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 ...