Frobenius \(\mathbb Q_1\)-groups.
type: Item
instance of: scholarly article
title: Frobenius \(\mathbb Q_1\)-groups.
zbMATH Open document ID: 1337.20004
author: N. E. Zubov
published in: Archiv der Mathematik
publication date: 2015-12-11T00:00:00Z
review text: Let \(G\) be a finite group. \(G\) is called a \(\mathbb Q\)-group if all of its irreducible characters are rational valued, and it is called a \(\mathbb Q_1\)-group if all of its non-linear characters are rational valued. \textit{M. R. Darafsheh} and \textit{H. Sharifi} [Arch. Math. 83, No. 2, 102-105 (2004; Zbl 1087.20006)] classified all the Frobenius \(\mathbb Q\)-groups. The aim of the paper under review is to classify all the Frobenius \(\mathbb Q_1\)-groups.
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 6520098
zbMATH Keywords: rational groups
zbMATH Keywords: Frobenius groups
zbMATH Keywords: irreducible complex characters
zbMATH Keywords: rational valued characters
reviewed by: M. R. Darafsheh
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: s00013-015-0834-6
OpenAlex ID: W2466006669
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DOI: 10.1007/S00013-015-0834-6
description: scientific article; zbMATH DE number 6520098