CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On the exponent of tensor categories coming from finite groups
Autor/es:
SONIA NATALE
Revista:
ISRAEL JOURNAL OF MATHEMATICS
Editorial:
Hebrew University of Jerusalem
Referencias:
Lugar: Jersualem; Año: 2006
ISSN:
0021-2172
Resumen:
We describe the exponent of a group-theoretical fusion category $C = C(G, w, F, a)$associated to a finite group G in terms of group cohomology. We show that the exponent of C divides both e(w) exp G and (exp G)^2, where e(w) is the cohomological order of the 3-cocycle w. In particular exp C divides (dim C)^2.
