Certain Applications of the Burnside Rings and Ghost Rings in the Representation Theory of Finite Groups (II)

1996/10/18 by Kenneth K. Nwabueze, K. K. Nwabueze, Nwabueze, K. K. +2
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.math/9610218

arxiv created 1996/10/18 · openalex publication_date 1996/10/18 · arxiv updated 2016/09/06 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

Using the Burnside ring theoretic methods a new setting and a complete description of the Artin exponent A(G) of finite p-groups was obtained in a previous article of the first-named author. In this paper, we compute A(G) for any finite group G -- hence providing the global version of that result.

Related

• Some definition of the Artin exponent of finite groups
• Simplicial Burnside ring
• Solution to the Burnside Problem
• Explicit Generators for the Unit Group of the Burnside ring
• Global Representation Ring and Knutson Index