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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© 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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DOI: https://doi.org/10.1007/978-3-642-11297-3_12
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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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