Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Viruel, Antonio"'
We discuss the universal orbifold Euler characteristic and generalized orbifold Euler characteristics corresponding to finitely generated groups $A$ (the $A$-Euler characteristics). We show that the collection of all $A$-Euler characteristics for $A$
Externí odkaz:
http://arxiv.org/abs/2405.08426
The notion of effective topological complexity, introduced by B{\l}aszczyk and Kaluba, deals with using group actions in the configuration space in order to reduce the complexity of the motion planning algorithm. In this article we focus on studying
Externí odkaz:
http://arxiv.org/abs/2402.18524
We establish that the natural permutation representation of highly transitive groups cannot be realized as the full group of automorphisms of an idempotent finite-dimensional evolution algebra acting on the set of lines spanned by natural elements. F
Externí odkaz:
http://arxiv.org/abs/2401.05924
Publikováno v:
Results Math 79, 132 (2024)
We study the topology of all possible subsums of the generalized multigeometric series $k_1f(x)+k_2f(x)+\dots+k_mf(x)+\dots + k_1f(x^n)+\dots+k_mf(x^n)+\dots,$ where $k_1, k_2, \dots, k_m$ are fixed positive real numbers and $f$ runs along a certain
Externí odkaz:
http://arxiv.org/abs/2309.11388
We raise the question of the realizability of permutation modules in the context of Kahn's realizability problem for abstract groups and the $G$-Moore space problem. Specifically, given a finite group $G$, we consider a collection $\{M_i\}_{i=1}^n$ o
Externí odkaz:
http://arxiv.org/abs/2308.16675
Publikováno v:
Advances in Mathematics, Volume 457, 2024, 109942
In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational s
Externí odkaz:
http://arxiv.org/abs/2301.13719
Publikováno v:
Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM 117, 82 (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 $G$ is isomorphic to $Aut(
Externí odkaz:
http://arxiv.org/abs/2207.01335
Publikováno v:
In Advances in Mathematics November 2024 457
Smooth actions of connected compact Lie groups with a free point are determined by two vector fields
Publikováno v:
In Journal of Geometry and Physics July 2024 201
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 group by considering non-compa
Externí odkaz:
http://arxiv.org/abs/2108.00900