Özekes, HasanOzdemir, FatmaOzekes, Hasan2024-05-252024-05-25201311085-33751687-040910.1155/2013/6458482-s2.0-84878727955https://doi.org/10.1155/2013/645848https://hdl.handle.net/20.500.14517/829Ozdemir, Fatma/0000-0003-1072-5964We 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 S-1.eninfo:eu-repo/semantics/openAccess[No Keyword Available]On the Homomorphisms of the Lie Groups <i>SU</i>(2) and <i>S</i><SUP>3</SUP>ArticleQ2WOS:000319193100001