On a result of nilpotent subgroups of solvable groups

Author(s):

Yong Yang *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎Heineken [‎H‎. ‎Heineken‎, ‎Nilpotent subgroups of finite soluble groups‎, Arch‎. ‎Math.(Basel)‎, ‎ 56 no‎. ‎5 (1991) 417--423‎.] studied the order of the nilpotent subgroups of the largest order of a solvable group‎. ‎We point out an error‎, ‎and thus refute the proof of the main result of [‎H‎. ‎Heineken‎, ‎Nilpotent subgroups of finite soluble groups‎, Arch‎. ‎Math.(Basel)}‎, 56 no‎. ‎5 (1991) 417--423‎].


* The formulas are not displayed correctly.

 

Keywords:

‎solvable group‎ , ‎nilpotent group‎ , ‎injector

Language:
English
Published:
International Journal of Group Theory, Volume:11 Issue: 3, Sep 2022
Pages:
187 to 189
https://magiran.com/p2491375