• FINITE GROUPS WITH A MAXIMAL NILPOTENT SUBGROUP

Runshi Zhang, Deqin Chen, Shitian Liu*

Abstract


A solvability condition for finite groups with maximal nilpotent subgroups is given as follows. Let be a finite group and a maximal nilpotent subgroup of . If $P$ is a Sylow 2-subgroup of and every subgroups of of order 2 or 4 is pronormal in , then is solvable.

Keywords: maximal nilpotent subgroups, solvable groups, pronormal subgroups

Subject Classification (2010): 20D10, 20D20.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2019 Research Journal of Pure Algebra (RJPA)
Copyright Agreement & Authorship Responsibility
HTML Counter
Counter