We first construct all the homomorphisms from the Heisenberg group to the 3-sphere. Also, defining a topology on these homomorphisms, we regard the set of these homomorphisms as a topological space. Next, using the kernels of homomorphisms, we define an equivalence relation on this topological space. We finally show that the quotient space is a topological group which is isomorphic to .
"On the Homomorphisms of the Lie Groups and ." Abstr. Appl. Anal. 2013 (SI06) 1 - 5, 2013. https://doi.org/10.1155/2013/645848