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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© 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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DOI: https://doi.org/10.1007/978-3-642-11297-3_11
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11296-6
Online ISBN: 978-3-642-11297-3
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