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The Dade Group

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

Abstract

This chapter exposes how the formalism of biset functors, and more precisely of p-biset functors, can be used to describe the Dade group D(P) of a finite p-group P. This group was introduced by Dade [30, 31] in order to classify the endo-permutation modules for a p-group. This definition will be quickly recalled (see [49] Chap. 5 Sects. 28 and 29 for details), and then an equivalent construction will be given, which is better suited to define biset operations between various Dade groups.

Keywords

  • Exact Sequence
  • Conjugacy Class
  • Direct Summand
  • Short Exact Sequence
  • Group Homomorphism

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Serge Bouc .

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© 2010 Springer-Verlag Berlin Heidelberg

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Bouc, S. (2010). The Dade Group. 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_12

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