Simplicial Burnside ring

2021/09/26 by Tounkara, Ibrahima
#06A11 #18G30 #19A22 #20J15 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2109.12620

Abstract

This paper develops links between the Burnside ring of a finite group G and the slice Burnside ring. The goal is to gain a better understanding of ghost maps, idempotents, prime spectrum of these Burnside rings and connections between them.

Related

• The lattice Burnside rings
• The Burnside ring of simple C-sets
• A note on the lambda-structure on the Burnside ring
• Blocks of Fibered Burnside Rings
• Explicit Generators for the Unit Group of the Burnside ring