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

Author(s):

S. Jafari , H. Sharifi *

Article Type:
Research/Original Article (دارای رتبه معتبر)
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.
Keywords:

Rational group , nilpotency class , Markel group

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2327 to 2337
https://www.magiran.com/p1850908