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

Document Type: Research Paper


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


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 $G$.


Main Subjects

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Volume 43, Issue 7
November and December 2017
Pages 2327-2337
  • Receive Date: 13 April 2016
  • Revise Date: 07 April 2017
  • Accept Date: 07 April 2017