Open AccessA Note on Hobby’s Theorem of Finite Groups
Author(s) -
Qingjun Kong
Publication year - 2013
Publication title -
algebra
Language(s) - English
Resource type - Journals
eISSN - 2314-4114
pISSN - 2314-4106
DOI - 10.1155/2013/135045
Subject(s) - hobby , mathematics , nilpotent , nilpotent group , central series , fitting subgroup , group (periodic table) , pure mathematics , locally finite group , unipotent , algebra over a field , discrete mathematics , physics , political science , abelian group , quantum mechanics , law
It is well known that the Frattini subgroups of any finite groups are nilpotent. If a finite group is not nilpotent, it is not the Frattini subgroup of a finite group. In this paper, we mainly discuss what kind of finite nilpotent groups cannot be the Frattini subgroup of some finite groups and give some results. Moreover, we generalize Hobby’s Theorem
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