Segal's conjecture and the Burnside rings of fusion systems

• Autores: Antonio Díaz, Assaf Libman
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 3, 2009, págs. 665-679
• Idioma: inglés
• Enlaces
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• Resumen

  • For a given saturated fusion system F we define the ring A(S) F of the F-invariants of the Burnside ring functor. We show how this ring is related to the Burnside ring of the fusion system F and how it appears naturally in the analogue of Segal�s conjecture for the classifying spectrum BF. We give an explicit description of A(S) F and we prove it is a local ring.