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On blocks with one modular character

On blocks with one modular character AbstractSuppose that B is a Brauer p-block of a finite group G with a uniquemodular character φ. We prove that φ is liftable to an ordinarycharacter of G (which moreover is p-rational for odd p). This confirmsthe basic set conjecture for these blocks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

On blocks with one modular character

Malle, Gunter; Navarro, Gabriel; Späth, Britta
Forum Mathematicum , Volume 30 (1): 17 – Jan 1, 2018
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Publisher
de Gruyter
Copyright
© 2019 Walter de Gruyter GmbH, Berlin/Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2015-0197
Publisher site
See Article on Publisher Site

Abstract

AbstractSuppose that B is a Brauer p-block of a finite group G with a uniquemodular character φ. We prove that φ is liftable to an ordinarycharacter of G (which moreover is p-rational for odd p). This confirmsthe basic set conjecture for these blocks.

Journal

Forum Mathematicum – de Gruyter

Published: Jan 1, 2018

References

  • Sur les l-blocs unipotents des groupes réductifs finis quand l est mauvais
  • On a theorem of Shintani
  • On stable equivalences and blocks with one simple module