G/Z(G) is isomorphic to I(G) the group of inner automorphisms of G - Chapter 10 - Lecture 3
Автор: Dr. Mrs. Samina S. Boxwala Kale
Загружено: 2021-01-13
Просмотров: 2011
Описание:
In this video, we use the fundamental theorem of group homomorphism to prove that for any group G, the quotient group G/Z(G) is isomorphic to the group I(G) of inner automorphisms of G. Here Z(G) denotes the center of the group G. We define a function from G to I(G) in such a manner that the function is onto and a homomorphism and for which the kernel is the center of G.
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• Inner Automorphisms - Chapter 10 - Lecture 2
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• Group of Automorphisms of an Infinite Cycl...
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• Automorphisms of A Group: Definiton and Ex...
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