MTS 311 COURSE TITLE - Groups and Rings
نویسنده
چکیده
COURSE CONTENT: Groups, Examples of groups, Some elementary properties of groups, Subgroups, Cyclic groups, Cosets and Langrange’s theorem, Normal subgroups and Quotient groups, Homomorphisms, The Isomorphism Theorems, Group Actions, orbits and stabilizers, Conjugacy, Class equation of a finite group, Cauchy’s Theorem, The structure of p-groups, The Sylow’s theorems, Some applications of Sylow’s theorems, Simple groups, Solvable groups
منابع مشابه
Course 311: Abstract Algebra Academic year 2007-08 Chapter 2: Rings and Polynomials
2 Rings and Polynomials 30 2.1 Rings, Integral Domains and Fields . . . . . . . . . . . . . . . 30 2.2 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 2.3 Quotient Rings and Homomorphisms . . . . . . . . . . . . . . 33 2.4 The Characteristic of a Ring . . . . . . . . . . . . . . . . . . . 35 2.5 Polynomial Rings . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.6 Ga...
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Structural properties, energies behavior and NBO analysis was performed for1-5 prototrophic shift endinelboran where substitutions like H, CH3 and CF3 that were placed on Benzene were investigated by usingDFT-B3LYP/6-311+G** level of theory. The Results show that, -BH2 shift doesn’t take place and a kind of[1,3] shift for borotrophic occured. In prototrophic shift, however, [1,5] transition eas...
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