Differences

This shows you the differences between two versions of the page.

--- definition:group_homomorphism [2013/08/21 09:55]
joshuawiscons [External links]
+++ definition:group_homomorphism [2013/08/21 10:01] (current)
joshuawiscons
@@ Line 1: / Line 1: @@
 ====== Group Homomorphism ======
 ====Definition====
-Let $(G,\cdot)$ and $(H,\times)$ be groups. We say that the function $f:G\to H$ is a group homomorphism if $f(a\cdot b)=f(a)\times f(b)$ for every $a,b\in G$.
+Let $(G,\cdot)$ and $(H,\times)$ be [[definition:group|groups]]. We say that the function $f:G\to H$ is a group $\textdef{homomorphism}$ if $f(a\cdot b)=f(a)\times f(b)$ for every $a,b\in G$.

Abstract Algebra IBL Wiki