Finite groups whose same degree characters are Galois conjugate

Silvio Dolfi; Gabriel Navarro; Pham Huu Tiep

doi:10.1007/s11856-013-0024-9

Finite groups whose same degree characters are Galois conjugate

Silvio Dolfi
, Gabriel Navarro
, Pham Huu Tiep

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

7 Scopus citations

Abstract

We classify the finite groups which satisfy the condition that any two nonprincipal complex irreducible characters of the same degree are Galois conjugate.

Original language	English (US)
Pages (from-to)	283-331
Number of pages	49
Journal	Israel Journal of Mathematics
Volume	198
Issue number	1
DOIs	https://doi.org/10.1007/s11856-013-0024-9
State	Published - Nov 2013
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s11856-013-0024-9

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title = "Finite groups whose same degree characters are Galois conjugate",

abstract = "We classify the finite groups which satisfy the condition that any two nonprincipal complex irreducible characters of the same degree are Galois conjugate.",

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

note = "Funding Information: ∗The research of the first author was partially supported by MIUR research pro-gram “Teoria dei gruppi ed applicazioni”. ∗∗ The research of the second author was partially supported by MTM2010-15296, and Prometeo/Generalitat Valenciana. † The third author gratefully acknowledges the support of the NSF (grants DMS-0964957, DMS-0901241, and DMS-1201374). Received December 20, 2011 and in revised form September 21, 2012",

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doi = "10.1007/s11856-013-0024-9",

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AU - Dolfi, Silvio

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

N1 - Funding Information: ∗The research of the first author was partially supported by MIUR research pro-gram “Teoria dei gruppi ed applicazioni”. ∗∗ The research of the second author was partially supported by MTM2010-15296, and Prometeo/Generalitat Valenciana. † The third author gratefully acknowledges the support of the NSF (grants DMS-0964957, DMS-0901241, and DMS-1201374). Received December 20, 2011 and in revised form September 21, 2012

PY - 2013/11

Y1 - 2013/11

N2 - We classify the finite groups which satisfy the condition that any two nonprincipal complex irreducible characters of the same degree are Galois conjugate.

AB - We classify the finite groups which satisfy the condition that any two nonprincipal complex irreducible characters of the same degree are Galois conjugate.

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DO - 10.1007/s11856-013-0024-9

M3 - Article

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VL - 198

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JO - Israel Journal of Mathematics

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ER -

Finite groups whose same degree characters are Galois conjugate

Abstract

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