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On 2-Brauer characters of odd degree

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Abstract

A natural bijection is constructed between the odd-degree irreducible 2-Brauer characters of certain distinguished groups, and the characters of \(\mathbf{N}_{G}(P)/P\), where\(P \in \mathrm{Syl}_2(G)\). In these cases (and more), we show that these 2-Brauer characters are liftable to irreducible complex characters of G.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat de València, 46100, Burjassot, Valencia, Spain

    Gabriel Navarro

  2. Department of Mathematics, Rutgers University, Piscataway, NJ, 08854, USA

    Pham Huu Tiep

Authors
  1. Gabriel Navarro
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  2. Pham Huu Tiep
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Corresponding author

Correspondence to Gabriel Navarro.

Additional information

The research of the first author is supported by MTM2016-76196-P and Prometeo/Generalitat Valenciana. The second author gratefully acknowledges the support of the NSF (Grants DMS-1201374 and DMS-1665014) and a Clay Senior Scholarship. Part of the paper was written while the second author was visiting the Centre Interfacultaire Bernoulli, EPFL, Lausanne, Switzerland. It is a pleasure to thank the Clay Mathematics Institute for financial support and the EPFL for generous hospitality and stimulating environment.

The authors are grateful to the referee for careful reading and helpful comments on the paper.

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Navarro, G., Tiep, P.H. On 2-Brauer characters of odd degree. Math. Z. 290, 469–483 (2018). https://doi.org/10.1007/s00209-017-2026-5

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  • DOI: https://doi.org/10.1007/s00209-017-2026-5

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