Quotient Groups

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  • Bài giảng Đại số B2 - Chương 2 cung cấp những kiến về nhóm (Groups). Những nội dung chính trong chương này gồm có: Introduction (Nhập môn); normal subgroups, quotient groups (nhóm con chuẩn tắc, nhóm thương); homomorphism (đồng cấu). Mời các bạn cùng tham khảo.

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  • Algebra is used by virtually all mathematicians, be they analysts, combinatorists, com- puter scientists, geometers, logicians, number theorists, or topologists. Nowadays, ev- eryone agrees that some knowledge of linear algebra, groups, and commutative rings is necessary, and these topics are introduced in undergraduate courses. We continue their study.

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  • The theory of automorphic functions in one complex variable was created during the second half of the nineteenth and the beginning of the twentieth centuries. Important contributions are due to such illustrious mathematicians as F. Klein, P. Koebe and H. Poincare. Two sources may be traced: the uniformization theory of algebraic functions, and certain topics in number theory. Automorphic functions with respect to groups with compact quotient space on the one hand and elliptic modular functions on the other are examples of these two aspects.

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