Fusion systems of blocks of finite groups over arbitrary fields

@article{Boltje2020FusionSO,
  title={Fusion systems of blocks of finite groups over arbitrary fields},
  author={Robert Boltje and cCisil Karaguzel and D. Yılmaz},
  journal={Pacific Journal of Mathematics},
  year={2020},
  volume={305},
  pages={29-41}
}
  • Robert Boltje, cCisil Karaguzel, D. Yılmaz
  • Published 2020
  • Mathematics
  • Pacific Journal of Mathematics
  • To any block idempotent $b$ of a group algebra $kG$ of a finite group $G$ over a field $k$ of characteristic $p>0$, Puig associated a fusion system and proved that it is saturated if the $k$-algebra $kC_G(P)e$ is split, where $(P,e)$ is a maximal $kGb$-Brauer pair. We investigate in the non-split case how far the fusion system is from being saturated by describing it in an explicit way as being generated by the fusion system of a related block idempotent over a larger field together with a… CONTINUE READING

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