Characters of p′-degree with cyclotomic field of values

Gabriel Navarro; Pham Huu Tiep

doi:10.1090/S0002-9939-06-08564-9

Characters of p′-degree with cyclotomic field of values

Gabriel Navarro
, Pham Huu Tiep

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

7 Scopus citations

Abstract

If p is a prime number and G is a finite group, we show that G has an irreducible complex character of degree not divisible by p with values in the cyclotomic field ℚ_p.

Original language	English (US)
Pages (from-to)	2833-2837
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-06-08564-9
State	Published - Oct 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-06-08564-9

Cite this

@article{1983e20cc88345bfb7d179e606095cae,

title = "Characters of p′-degree with cyclotomic field of values",

abstract = "If p is a prime number and G is a finite group, we show that G has an irreducible complex character of degree not divisible by p with values in the cyclotomic field ℚp.",

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

year = "2006",

month = oct,

doi = "10.1090/S0002-9939-06-08564-9",

language = "English (US)",

volume = "134",

pages = "2833--2837",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - Characters of p′-degree with cyclotomic field of values

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

PY - 2006/10

Y1 - 2006/10

N2 - If p is a prime number and G is a finite group, we show that G has an irreducible complex character of degree not divisible by p with values in the cyclotomic field ℚp.

AB - If p is a prime number and G is a finite group, we show that G has an irreducible complex character of degree not divisible by p with values in the cyclotomic field ℚp.

UR - https://www.scopus.com/pages/publications/33749517889

UR - https://www.scopus.com/pages/publications/33749517889#tab=citedBy

U2 - 10.1090/S0002-9939-06-08564-9

DO - 10.1090/S0002-9939-06-08564-9

M3 - Article

AN - SCOPUS:33749517889

SN - 0002-9939

VL - 134

SP - 2833

EP - 2837

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Characters of p′-degree with cyclotomic field of values

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this