Search arXiv⌕ Search

arXiv · 0708.1470

A note on the lambda-structure on the Burnside ring

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.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Karl Rökaeus. 2007-08-10. A note on the lambda-structure on the Burnside ring. https://arxiv.org/abs/0708.1470

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Non-orientable surfaces have stably unbounded homeomorphism group

Building on recent work of Bowden, Hensel and Webb, we prove that the groups of homeomorphisms of the real projective plane and Möbius strip which are isotopic to the identity have an infinite dimensional space of non-trivial homogeneous quasi-morphisms. In particular, we show that they are stably unbounded, completing the answer to a question posed by Burago, Ivanov and Polterovich on the boundedness of diffeomorphism groups of surfaces.

math.GR↗