Brauer characters and rationality

Gabriel Navarro; Pham Huu Tiep

doi:10.1007/s00209-013-1234-x

Brauer characters and rationality

Gabriel Navarro
, Pham Huu Tiep

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

4 Scopus citations

Abstract

A finite group G has no non-trivial rational-valued irreducible p-Brauer characters if and only if G has no non-trivial rational elements of order not divisible by p.

Original language	English (US)
Pages (from-to)	1101-1112
Number of pages	12
Journal	Mathematische Zeitschrift
Volume	276
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-013-1234-x
State	Published - Apr 2014
Externally published	Yes

Keywords

Brauer characters
Rationality

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-013-1234-x

Cite this

@article{c95b5bcb0ae64cfeb3da8ec35dda7210,

title = "Brauer characters and rationality",

abstract = "A finite group G has no non-trivial rational-valued irreducible p-Brauer characters if and only if G has no non-trivial rational elements of order not divisible by p.",

keywords = "Brauer characters, Rationality",

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

note = "Funding Information: The research of the first author is supported by the Prometeo/Generalitat Valenciana, Proyectos MTM2010-15296. The second author gratefully acknowledges the support of the NSF (grants DMS-0901241 and DMS-1201374). ",

year = "2014",

month = apr,

doi = "10.1007/s00209-013-1234-x",

language = "English (US)",

volume = "276",

pages = "1101--1112",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

number = "3-4",

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TY - JOUR

T1 - Brauer characters and rationality

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

N1 - Funding Information: The research of the first author is supported by the Prometeo/Generalitat Valenciana, Proyectos MTM2010-15296. The second author gratefully acknowledges the support of the NSF (grants DMS-0901241 and DMS-1201374).

PY - 2014/4

Y1 - 2014/4

N2 - A finite group G has no non-trivial rational-valued irreducible p-Brauer characters if and only if G has no non-trivial rational elements of order not divisible by p.

AB - A finite group G has no non-trivial rational-valued irreducible p-Brauer characters if and only if G has no non-trivial rational elements of order not divisible by p.

KW - Brauer characters

KW - Rationality

UR - https://www.scopus.com/pages/publications/84897592751

UR - https://www.scopus.com/pages/publications/84897592751#tab=citedBy

U2 - 10.1007/s00209-013-1234-x

DO - 10.1007/s00209-013-1234-x

M3 - Article

AN - SCOPUS:84897592751

SN - 0025-5874

VL - 276

SP - 1101

EP - 1112

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

Brauer characters and rationality

Abstract

Keywords

ASJC Scopus subject areas

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