# On rational groups with Sylow 2-subgroups of nilpotency class at most 2

Document Type: Research Paper

Authors

Department of Mathematics‎, ‎Faculty of Science‎, ‎Shahed University‎, ‎Tehran‎, ‎Iran.

Abstract

A finite group $G$ is called rational if all its irreducible complex characters are rational valued. In this paper we discuss about rational groups with Sylow 2-subgroups of nilpotency class at most 2 by imposing the solvability and nonsolvability assumption on $G$ and also via nilpotency and nonnilpotency assumption of $G$.

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Main Subjects

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### History

• Receive Date: 13 April 2016
• Revise Date: 07 April 2017
• Accept Date: 07 April 2017