Homomorphism

Given two groups Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle G,G'} , a homomorphism from $G$ to $G'$ is a function $\phi :G\to G'\,$ such that for all $a,b\in G$, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \phi (ab) = \phi (a) \phi (b) \,}

See also

• Isomorphism