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Acta Mathematica Vietnamica

Odd-degree Rational Irreducible Characters

icon-email Pham Huu Tiep , Hung P. Tong-Viet

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.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv