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Applications

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1990)

Abstract

This chapter exposes two applications of rational p-biset functors to the description of some groups attached to a finite p-group P: the first one concerns the kernel K(P) of the linearization morphism \( \chi _P= \chi _{\mathbb{Q},P} :B\left( P \right) \to R_\mathbb{Q} \left( P \right) \)(see Remark 1.2.3), and the second one the group B ×(P) of units of the Burnside ring of P.

Keywords

  • Exact Sequence
  • Normal Subgroup
  • Conjugacy Class
  • Short Exact Sequence
  • Free Abelian Group

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Correspondence to Serge Bouc .

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© 2010 Springer-Verlag Berlin Heidelberg

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Bouc, S. (2010). Applications. In: Biset Functors for Finite Groups. Lecture Notes in Mathematics(), vol 1990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11297-3_11

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