Real class sizes and real character degrees

Robert M. Guralnick; Gabriel Navarro; Pham Huu Tiep

doi:10.1017/S0305004110000307

Real class sizes and real character degrees

Robert M. Guralnick
, Gabriel Navarro
, Pham Huu Tiep

Mathematics

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

14 Scopus citations

Abstract

Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).

Original language	English (US)
Pages (from-to)	47-71
Number of pages	25
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	150
Issue number	1
DOIs	https://doi.org/10.1017/S0305004110000307
State	Published - Jan 2011

ASJC Scopus subject areas

General Mathematics

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10.1017/S0305004110000307

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title = "Real class sizes and real character degrees",

abstract = "Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).",

author = "Guralnick, \{Robert M.\} and Gabriel Navarro and Tiep, \{Pham Huu\}",

note = "Funding Information: † Supported by NSF grants DMS-0653873, DMS-0964957 and DMS-0901241. Funding Information: ‡ Partially supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia proyecto MTM2007-61161.",

year = "2011",

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AU - Navarro, Gabriel

AU - Tiep, Pham Huu

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PY - 2011/1

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N2 - Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).

AB - Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).

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DO - 10.1017/S0305004110000307

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Real class sizes and real character degrees

Abstract

ASJC Scopus subject areas

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