English

Deflation and tensor induction on the Frobenius-Wielandt morphism

Group Theory 2022-01-07 v2 Representation Theory

Abstract

We explore conditions for the Frobenius-Wielandt morphism to commute with the operations of deflation and tensor induction on the Burnside ring. In doing this, we review the commutativity with induction. The techniques used for induction and tensor induction no longer work for deflation, so in this case we make use of tools coming from the theory of biset functors.

Keywords

Cite

@article{arxiv.1910.00160,
  title  = {Deflation and tensor induction on the Frobenius-Wielandt morphism},
  author = {Nadia Romero},
  journal= {arXiv preprint arXiv:1910.00160},
  year   = {2022}
}