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A reduction theorem for the Feit conjecture

  • Robert Boltje

    University of California Santa Cruz, USA
    ORCID

  • Alexander Kleshchev

    University of Oregon, Eugene, USA

  • Gabriel Navarro

    Universitat de València, Spain
    ORCID

  • Pham Huu Tiep

    Rutgers University, Piscataway, USA
    ORCID
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Abstract

We prove that if all the simple groups involved in a finite group satisfy the inductive Feit condition, then Walter Feit’s conjecture from 1980 holds for . In particular, this would solve Brauer’s Problem 41 from 1963 in the affirmative. This inductive Feit condition implies that some features of all the irreducible characters of finite groups can be found locally.

Cite this article

Robert Boltje, Alexander Kleshchev, Gabriel Navarro, Pham Huu Tiep, A reduction theorem for the Feit conjecture. J. Eur. Math. Soc. (2025), published online first

DOI 10.4171/JEMS/1742