Metabelian $ {\mathbb{Q}}_{1}$-groups

Mozhgan Rezakhanlou; Mohammad Reza Darafsheh

doi:10.1016/j.crma.2017.10.017

Algebra/Group theory

Metabelian

Q_{1}

-groups

Presented by: the Editorial Board

Mozhgan Rezakhanlou ¹; Mohammad Reza Darafsheh ²

¹ Department of Mathematics, Tarbiat Modares University, P.O. Box 14115-137, Tehran, Iran
² School of Mathematics, Statistics, and Computer Science, College of Science, University of Tehran, Tehran, Iran

Comptes Rendus. Mathématique, Volume 356 (2018) no. 2, pp. 138-140.

Abstract (Original language)
Résumé

A finite group G is called a $Q_{1}$ -group if all of its non-linear irreducible characters are rational valued. In this paper, we will find the general structure of a metabelian $Q_{1}$ -group.

Un groupe fini G est appelé un $Q_{1}$ -groupe si les valeurs des caractères non linéaires sont rationnelles. Dans cet article, nous déterminons la structure des $Q_{1}$ -groupes métabéliens.

Received: 2017-03-09
Accepted: 2017-10-27
Published online: 2018-01-12

DOI: 10.1016/j.crma.2017.10.017

Author's affiliations:

Mozhgan Rezakhanlou ¹; Mohammad Reza Darafsheh ²

¹ Department of Mathematics, Tarbiat Modares University, P.O. Box 14115-137, Tehran, Iran
² School of Mathematics, Statistics, and Computer Science, College of Science, University of Tehran, Tehran, Iran

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     author = {Mozhgan Rezakhanlou and Mohammad Reza Darafsheh},
     title = {Metabelian $ {\mathbb{Q}}_{1}$-groups},
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     pages = {138--140},
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     doi = {10.1016/j.crma.2017.10.017},
     language = {en},
}

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Mozhgan Rezakhanlou; Mohammad Reza Darafsheh. Metabelian $ {\mathbb{Q}}_{1}$-groups. Comptes Rendus. Mathématique, Volume 356 (2018) no. 2, pp. 138-140. doi : 10.1016/j.crma.2017.10.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.10.017/

References
Cited by

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