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

Source: [Certain Applications of the Burnside Rings and Ghost Rings in the Representation Theory of Finite Groups (II)](<https://www.sota2.com/research/paper/68fa531f1e209131ce980b32>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:17:07.273Z

Authors: K. K. Nwabueze, F. Van Oystaeyen

Published: 1996-10-18T00:00:00.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/9610218>)

[PDF](<https://arxiv.org/pdf/math/9610218.pdf>)