On 2-Brauer characters of odd degree

Gabriel Navarro; Pham Huu Tiep

doi:10.1007/s00209-017-2026-5

On 2-Brauer characters of odd degree

Gabriel Navarro, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A natural bijection is constructed between the odd-degree irreducible 2-Brauer characters of certain distinguished groups, and the characters of N_G(P) / P, whereP∈ Syl ₂(G). In these cases (and more), we show that these 2-Brauer characters are liftable to irreducible complex characters of G.

Original language	English (US)
Pages (from-to)	469-483
Number of pages	15
Journal	Mathematische Zeitschrift
Volume	290
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-017-2026-5
State	Published - Oct 1 2018

Keywords

2-Brauer characters
Odd degree

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-017-2026-5

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title = "On 2-Brauer characters of odd degree",

abstract = "A natural bijection is constructed between the odd-degree irreducible 2-Brauer characters of certain distinguished groups, and the characters of NG(P) / P, whereP∈ Syl 2(G). In these cases (and more), we show that these 2-Brauer characters are liftable to irreducible complex characters of G.",

keywords = "2-Brauer characters, Odd degree",

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N2 - A natural bijection is constructed between the odd-degree irreducible 2-Brauer characters of certain distinguished groups, and the characters of NG(P) / P, whereP∈ Syl 2(G). In these cases (and more), we show that these 2-Brauer characters are liftable to irreducible complex characters of G.

AB - A natural bijection is constructed between the odd-degree irreducible 2-Brauer characters of certain distinguished groups, and the characters of NG(P) / P, whereP∈ 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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On 2-Brauer characters of odd degree

Abstract

Keywords

ASJC Scopus subject areas

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