meet homomorphic image

The homomorphic image of π inverse semigroup is studied first, and then that the homomorphic image of π inverse semigroup is also π inverse semigroup is proved, and the structure of minimum π group congruence on π inverse semigroup is given.

首先研究了π 逆半群的同态像 ,证明了π 逆半群的同态像也是π 逆半群 ;然后给出了π 逆半群上的最小π 群同余的构造 ;最后 ,讨论了π 逆半群上的Green 关

Prove that if a group G with only three non-normal subgroups,then G has a homomorphic image<a,b│a3 n-1=b3=1,b-1ab=a1+3n-2,n≥3.

本文研究仅有三个非正规子群的有限群,证明这类群有同态像,n≥3。