The functor of units of Burnside rings for p-groups

• Autores: Serge Bouc
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 82, Nº 3, 2007, págs. 583-616
• Idioma: inglés
• DOI: 10.4171/cmh/103
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, I describe the structure of the biset functor B× sending a p-group P to the group of units of its Burnside ring B(P). In particular, I show that B× is a rational biset functor. It follows that if P is a p-group, the structure of B×(P) can be read from a genetic basis of P: the group B×(P) is an elementary abelian 2-group of rank equal to the number isomorphism classes of rational irreducible representations of P whose type is trivial, cyclic of order 2, or dihedral.