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Unformatted text preview: 17, 19, and 23, and the centralizers of each element in U(24) is all of U(24). Other findings in this paper include the fact that there is no single generator of U(24) and therefore, U(24) is not cyclic. A Lattice diagram out of the subgroups of U(24) will be provided. Auotmorphisms, homomorphisms, inner automorphisms, and isomorphisms that involve U(24) will be discussed. We find some isomorphisms of U(24) by using external and internal direct products. All of the normal subgroups of this group are listed which turn out to be all of the regular subgroups of my group. Similarly, we have factor groups, and we provide the set of right cosets of these factor groups. Finally, I give applications for U(24). For example, U(n) is used in quantum physics and can be applied to that area....
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This note was uploaded on 11/16/2009 for the course MATH 104 taught by Professor Maxon,k during the Spring '08 term at University of South Dakota.
 Spring '08
 Maxon,K
 Math, Algebra, Multiplication

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