Rational Brauer characters

Gabriel Navarro; Pham Huu Tiep

doi:10.1007/s00208-006-0758-3

Rational Brauer characters

Gabriel Navarro
, Pham Huu Tiep

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

6 Scopus citations

Abstract

It is known that every finite group of even order has a non-trivial complex irreducible character which is rational valued. We prove the modular version of this result: If p is an odd prime and G is any finite group of even order, then G has a non-trivial irreducible p-Brauer character which is rational valued.

Original language	English (US)
Pages (from-to)	675-686
Number of pages	12
Journal	Mathematische Annalen
Volume	335
Issue number	3
DOIs	https://doi.org/10.1007/s00208-006-0758-3
State	Published - Jul 2006
Externally published	Yes

Keywords

Rational Brauer characters

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-006-0758-3

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title = "Rational Brauer characters",

abstract = "It is known that every finite group of even order has a non-trivial complex irreducible character which is rational valued. We prove the modular version of this result: If p is an odd prime and G is any finite group of even order, then G has a non-trivial irreducible p-Brauer character which is rational valued.",

keywords = "Rational Brauer characters",

author = "Gabriel Navarro and Tiep, \{Pham Huu\}",

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language = "English (US)",

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AU - Tiep, Pham Huu

PY - 2006/7

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N2 - It is known that every finite group of even order has a non-trivial complex irreducible character which is rational valued. We prove the modular version of this result: If p is an odd prime and G is any finite group of even order, then G has a non-trivial irreducible p-Brauer character which is rational valued.

AB - It is known that every finite group of even order has a non-trivial complex irreducible character which is rational valued. We prove the modular version of this result: If p is an odd prime and G is any finite group of even order, then G has a non-trivial irreducible p-Brauer character which is rational valued.

KW - Rational Brauer characters

UR - https://www.scopus.com/pages/publications/33744764324

UR - https://www.scopus.com/pages/publications/33744764324#tab=citedBy

U2 - 10.1007/s00208-006-0758-3

DO - 10.1007/s00208-006-0758-3

M3 - Article

AN - SCOPUS:33744764324

SN - 0025-5831

VL - 335

SP - 675

EP - 686

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

Rational Brauer characters

Abstract

Keywords

ASJC Scopus subject areas

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