Dade’s invariant conjecture for general linear and unitary groups in non-defining characteristics
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- by Jianbei An
- Trans. Amer. Math. Soc. 353 (2001), 365-390
- DOI: https://doi.org/10.1090/S0002-9947-00-02580-0
- Published electronically: September 13, 2000
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Abstract:
This paper is part of a program to study the conjecture of E. C. Dade on counting characters in blocks for several finite groups. The invariant conjecture of Dade is proved for general linear and unitary groups when the characteristic of the modular representation is distinct from the defining characteristic of the groups.References
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Bibliographic Information
- Jianbei An
- Affiliation: Department of Mathematics, University of Auckland, Auckland, New Zealand
- Email: an@math.auckland.ac.nz
- Received by editor(s): August 28, 1998
- Received by editor(s) in revised form: February 5, 1999, and June 16, 1999
- Published electronically: September 13, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 365-390
- MSC (2000): Primary 20C20, 20G40
- DOI: https://doi.org/10.1090/S0002-9947-00-02580-0
- MathSciNet review: 1707189