群论中的逆同态与逆同构

The Anti-homeomorphism and the Anti-isomorphism in Group Theory

研究了群论中逆同态(逆同构)的一些基本性质,得到了群论中同态(同构)和逆同态(逆同构)的相互关系,并用逆同态(逆同构)的方法证明了群论中的同态基本定理和群的同构定理.

In this paper, some basic properties are researched of anti-homeomorphism （anti- isomorphism） in group theory, the relationship of group homeomorphism （isomorphism） and anti- homeomorphism （anti-isomorphism） are proved, uses the anti-homeomorphism （anti-isomorphism） methods to prove the fundamental theorem of homeomorphism and isomorphism theorems of group in group theory.