English

A note on the lambda-structure on the Burnside ring

Group Theory 2007-08-13 v1

Abstract

Let G be a finite group and let S be a G-set. The Burnside ring of G has a natural structure of a lambda-ring. However, a priori the images of S under the lambda-operations can only be computed implicitly. In this paper we establish an explicit formula, expressing these images as linear combinations of classes of G-sets.

Keywords

Cite

@article{arxiv.0708.1470,
  title  = {A note on the lambda-structure on the Burnside ring},
  author = {Karl Rökaeus},
  journal= {arXiv preprint arXiv:0708.1470},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-06-21T09:06:33.995Z