A note on the lambda-structure on the Burnside ring

Details A note on the lambda-structure on the Burnside ring A note on the lambda-structure on the Burnside ring

2007-08-10

arxiv.org/abs/0708.1470v1

Mathematics

Group Theory

7 pages

Scientific paper

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.

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