Map On Aut and End
If, then every automorphism of G induces an automorphism of the quotient group G/H, which yields a map .
If H is fully characteristic in G, then analogously, every endomorphism of G induces an endomorphism of G/H, which yields a map .
Read more about this topic: Characteristic Subgroup
Famous quotes containing the word map:
“When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.”
—Henry David Thoreau (1817–1862)