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Start Over Author "Viruel, Antonio" Journal proceedings of the american mathematical society
5 results on '"Viruel, Antonio"'

3. Regular evolution algebras are universally finite.

Author

Costoya, Cristina, Ligouras, Panagiote, Tocino, Alicia, and Viruel, Antonio

Subjects
AFFINE algebraic groups, ALGEBRA, FINITE, The, CHARTS, diagrams, etc., FINITE groups
Abstract

In this paper we show that evolution algebras over any given field \Bbbk are universally finite. In other words, given any finite group G, there exist infinitely many regular evolution algebras X such that Aut(X)\cong G. The proof is built upon the construction of a covariant faithful functor from the category of finite simple (non oriented) graphs to the category of (finite dimensional) regular evolution algebras. Finally, we show that any constant finite algebraic affine group scheme \mathbf {G} over \Bbbk is isomorphic to the algebraic affine group scheme of automorphisms of a regular evolution algebra. [ABSTRACT FROM AUTHOR]

Published
2022
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5. A COHOMOLOGICAL CHARACTERIZATION OF NILPOTENT FUSION SYSTEMS.

Author

DÍAZ RAMOS, ANTONIO, VIRUEL, ANTONIO, and ESPINOSA BARO, ARTURO

Subjects
*NILPOTENT groups, *COHOMOLOGY theory, *FINITE groups, *HOMOMORPHISMS, *PROPOSITION (Logic)
Abstract

We provide a nilpotency criterion for fusion systems in terms of the vanishing of its cohomology with twisted coefficients. [ABSTRACT FROM AUTHOR]

Published
2018
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