Differences

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

--- definition:image_of_a_group_homomorphism [2013/08/21 10:03]
joshuawiscons [External links]
+++ definition:image_of_a_group_homomorphism [2013/08/21 10:03] (current)
joshuawiscons [Definition]
@@ Line 1: / Line 1: @@
 ====== Image of a Group Homomorphism ======
 ====Definition====
-Let $f:G\to H$ be a [[definition:group homomorphism]].  The image of $f$ is the set of elements of $H$ that are mapped to by $f$, namely $$\im f = \{ f(g)\mid g\in G\}.$$
+Let $f:G\to H$ be a [[definition:group homomorphism]].  The $\textdef{image}$ of $f$ is the set of elements of $H$ that are mapped to by $f$, namely $$\im f = \{ f(g)\mid g\in G\}.$$

Abstract Algebra IBL Wiki