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

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-06-08564-9

Cite this

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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",

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

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AU - Tiep, Pham Huu

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JO - Proceedings of the American Mathematical Society

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Characters of p′-degree with cyclotomic field of values

Abstract

All Science Journal Classification (ASJC) codes

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