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

School of Arts and Sciences, Mathematics

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

3 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

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Finite groups
Rational conjugacy classes
Rational irreducible characters

Access to Document

10.1007/s40306-021-00446-x

Cite this

@article{bd6c02180c894a2f895efe20665f2588,

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.",

year = "2022",

month = mar,

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

language = "English (US)",

volume = "47",

pages = "293--304",

journal = "Acta Mathematica Vietnamica",

issn = "0251-4184",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Odd-degree Rational Irreducible Characters

AU - Tiep, Pham Huu

AU - Tong-Viet, Hung P.

PY - 2022/3

Y1 - 2022/3

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=85111521197&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85111521197&partnerID=8YFLogxK

U2 - 10.1007/s40306-021-00446-x

DO - 10.1007/s40306-021-00446-x

M3 - Article

AN - SCOPUS:85111521197

SN - 0251-4184

VL - 47

SP - 293

EP - 304

JO - Acta Mathematica Vietnamica

JF - Acta Mathematica Vietnamica

IS - 1

ER -

Odd-degree Rational Irreducible Characters

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this