Fibered $p$-biset functor structure of the fibered Burnside rings
Abstract
We determine the composition factors of the $A$-fibered Burnside functor $kB^A$ for $p$-groups over a field $k$ of characteristic $q$ with $q\neq p$ and cyclic fiber group $A$. We also show that, in this case, $kB^A$ is uniserial.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.03460
- arXiv:
- arXiv:1712.03460
- Bibcode:
- 2017arXiv171203460C
- Keywords:
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- Mathematics - Representation Theory
- E-Print:
- 24 pages