Towards classifying finite groups whose non-linear irreducible characters are rational valued

Hesameddin Sharifi | Mozhgan Rezakhanlou

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URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=137465
Date :  2020/02/19
Publish in :     12th Iranian Group Theory Conference

Link :  https://igtc12.modares.ac.ir/index.php?slc_lang=en&sid=1
Keywords :Frobenius group, Metabelian group, Irreducible character, Q-group, Q1-group.

Abstract :

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A finite group G is calleda Q1-group if all of its non-linear irreducible characters are rational valued. In this paper we review some of the work done on the Q1-groups and we provide an approach to fully classify thesetypesofgroups.

https://igtc12.modares.ac.ir/index.php?slc_lang=en&sid=1