El teorema de Cayley revisitado
The theorem of Cayley revisited
Parole chiave:
Grupos finitos, representaciones de grupos, caracteres de grupos (es)Finite groups, linear representations, group characters (en)
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En este artículo probamos que no existe un N ∊ ℕ tal que todo grupo finito puede ser embebido en GLc (N).
Abstract. In this paper we prove that there not exists N ∊ ℕ such that any finite group can be embedded into GLc (N).
Riferimenti bibliografici
W. Fulton and J. Harris, Representation theory: A first course, Springer Verlag, N. Y., 1991.
W. Hodges, Model theory, Cambridge University Press, Cambridge M. A., 1993.
T. Hungerford, Algebra, Springer Verlag, N. Y., 2000.
R. Kallman, Every reasonably sized group is a subgroup of sω, Fundamenta Mathematicae 164 (2000), 35-40.
R. Mauldin (ed.), The scotish book, Birkhauser, Boston, 1981.