Dual To Center
The outer automorphism group is dual to the center in the following sense: conjugation by an element of G is an automorphism, yielding a map The kernel of the conjugation map is the center, while the cokernel is the outer automorphism group (and the image is the inner automorphism group). This can be summarized by the short exact sequence:
Read more about this topic: Outer Automorphism Group
Famous quotes containing the words dual and/or center:
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declining,
Thee in thy panoply, thy measur’d dual throbbing and thy beat
convulsive,
Thy black cylindric body, golden brass and silvery steel,”
—Walt Whitman (1819–1892)
“The question of whether it’s God’s green earth is not at center stage, except in the sense that if so, one is reminded with some regularity that He may be dying.”
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