In this paper,we use the representation of nilpotent Lie group method to give a sufficient and necessary condition for subellipticity of Left invarient differental operators on nilpotent Lipgroup G^2n+k.
By using pronormal minimal subgroups and weak left Engel elements ofprime order of the normalizers of Sylow subgroups of a finite group G, we obtain somesufficient conditions for G to be p-nilpotent, nilpotent and sup...By using pronormal minimal subgroups and weak left Engel elements ofprime order of the normalizers of Sylow subgroups of a finite group G, we obtain somesufficient conditions for G to be p-nilpotent, nilpotent and supersolvable respectively,which generalize some known results.展开更多
文摘In this paper,we use the representation of nilpotent Lie group method to give a sufficient and necessary condition for subellipticity of Left invarient differental operators on nilpotent Lipgroup G^2n+k.
文摘By using pronormal minimal subgroups and weak left Engel elements ofprime order of the normalizers of Sylow subgroups of a finite group G, we obtain somesufficient conditions for G to be p-nilpotent, nilpotent and supersolvable respectively,which generalize some known results.
