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The present course is the study of a \group, which is a set with an associative operation, having an identity element, and such that each element has an inverse see section4. Top free must read machine leaning books for beginners. Even more important is the ability to read and understand mathematical proofs. Preliminaries, integers, groups, cyclic groups, permutation groups, cosets and lagranges theorem, introduction to cryptography, algebraic coding theory, isomorphisms, homomorphisms, matrix groups and symmetry, the structure of groups, group actions, the sylow theorems, rings, polynomials, integral domains, lattices and. To learn about the structure as group, ring and field.
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