Odd-degree Rational Irreducible Characters

Pham Huu Tiep; Hung P. Tong-Viet

doi:10.1007/s40306-021-00446-x

Odd-degree Rational Irreducible Characters

Pham Huu Tiep
, Hung P. Tong-Viet

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

7 Scopus citations

Abstract

We study finite groups whose rational-valued irreducible characters are all of odd degrees. We conjecture that in such groups, all rational elements must be 2-elements.

Original language	English (US)
Pages (from-to)	293-304
Number of pages	12
Journal	Acta Mathematica Vietnamica
Volume	47
Issue number	1
DOIs	https://doi.org/10.1007/s40306-021-00446-x
State	Published - Mar 2022
Externally published	Yes

Keywords

Finite groups
Rational conjugacy classes
Rational irreducible characters

ASJC Scopus subject areas

General Mathematics

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10.1007/s40306-021-00446-x

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title = "Odd-degree Rational Irreducible Characters",

abstract = "We study finite groups whose rational-valued irreducible characters are all of odd degrees. We conjecture that in such groups, all rational elements must be 2-elements.",

keywords = "Finite groups, Rational conjugacy classes, Rational irreducible characters",

author = "Tiep, \{Pham Huu\} and Tong-Viet, \{Hung P.\}",

note = "Publisher Copyright: {\textcopyright} 2021, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd.",

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month = mar,

doi = "10.1007/s40306-021-00446-x",

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AU - Tong-Viet, Hung P.

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AB - We study finite groups whose rational-valued irreducible characters are all of odd degrees. We conjecture that in such groups, all rational elements must be 2-elements.

KW - Finite groups

KW - Rational conjugacy classes

KW - Rational irreducible characters

UR - https://www.scopus.com/pages/publications/85111521197

UR - https://www.scopus.com/pages/publications/85111521197#tab=citedBy

U2 - 10.1007/s40306-021-00446-x

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JO - Acta Mathematica Vietnamica

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Odd-degree Rational Irreducible Characters

Abstract

Keywords

ASJC Scopus subject areas

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