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Every group is representable by all natural transformations of some set-functor
Theory and applications of categories, Tome 14 (2005), pp. 294-309 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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For every group G, we construct a functor F : SET --> SET (finitary for a finite group G) such that the monoid of all natural endotransformations of F is a group isomorphic to G.

Classification : 18B15
Keywords: set functor, group universal category 
@article{TAC_2005_14_a12,
     author = {Libor Barto and Petr Zima},
     title = {Every group is representable by all natural transformations of some 
set-functor},
     journal = {Theory and applications of categories},
     pages = {294--309},
     year = {2005},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2005_14_a12/}
}
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Libor Barto; Petr Zima. Every group is representable by all natural transformations of some 
set-functor. Theory and applications of categories, Tome 14 (2005), pp. 294-309. http://geodesic.mathdoc.fr/item/TAC_2005_14_a12/