From the 2 of 7 linked papers with an AI index.
7 papers
Realizing additive monoids as mapping degree sets
Cristina Costoya, Vicente Muñoz, Bruno Valverde-Morales +1
The paper proves that mapping degree sets are stable under multiplication by finite integer subsets containing 0 and under operations derived from additive submonoids of ℤ, and sho…
On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras
Idrees Alshatnawi, Cristina Costoya, Antonio Viruel
The paper investigates the Grothendieck ring formed by finite‑dimensional non‑degenerate evolution algebras, showing how the balance of their associated directed graphs governs can…
Every finite group is represented by a finite incidence geometry
Antonio DÃaz Ramos, Rémi Molinier, Antonio Viruel
We investigate the relationship between finite groups and incidence geometries through their automorphism structures. Building upon classical results on the realizability of groups…
Rigidifying simplicial complexes and realizing group actions
Cristina Costoya, Rafael Gomes, Antonio Viruel
We show that any action of a finite group on a finitely presentable group arises as the action of the group of self-homotopy equivalences of a space on its fundamental group. In do…
Hom-counting functions, combinatorial categories and related problems
Antonio Ceres, Cristina Costoya, Antonio Viruel
Combinatorial categories satisfy a stronger form of Yoneda Lemma, namely, the isomorphism type of an object can be recovered by counting the number of homomorphisms from all other…
Path partial groups
Antonio DÃaz Ramos, Rémi Molinier, Antonio Viruel
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 cat…