An algorithm for the unit group of the Burnside ring of a finite group

2008/08/08 by Boltje, Robert, Pfeiffer, Goetz
#19A22 #20D30 #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0808.1232

Abstract

In this note we present an algorithm for the construction of the unit group of the Burnside ring Ω(G) of a finite group G from a list of representatives of the conjugacy classes of subgroups of G.

Related

• Explicit Generators for the Unit Group of the Burnside ring
• Determining unit groups and K₁ of finite rings
• Tensor products and units of partial Burnside rings
• Simplicial Burnside ring
• The lattice Burnside rings