| Among them are the theory of polynomial equations with Abelian groups. |
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| He accepted the invitation, and lectured at Baltimore during the first five months of 1882 on the subject of the Abelian and Theta Functions. |
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| It is well known that all endomorphisms of an Abelian group form a ring and many of its properties can be characterized by this ring. |
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| We define a to be the number of nonisomorphic Abelian groups with n elements. |
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| Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions. |
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| Gladstar, the daughter of Armenian immigrants, first learned plant medicine during informal garden walks with her grandmother, Mary Abelian Egitkanoff. |
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| In his talk Steinitz introduced an algebra over the ring of integers whose base elements are isomorphism classes of finite abelian groups. |
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| He lectured on and wrote up notes on Tate's theorem on homomorphisms between abelian varieties over finite fields. |
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| Herbrand also worked on field theory considering abelian extensions of algebraic number fields. |
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| Galois, after reading Abel and Jacobi's work, worked on the theory of elliptic functions and abelian integrals. |
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| In 1925 he proved the Krull-Schmidt theorem for decomposing abelian groups of operators. |
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| In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups. |
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| He does provide an example of the decomposition of an abelian group into cosets of a subgroup. |
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| After submitting a thesis on abelian functions, he received his doctorate in 1895 from the University of Strasbourg. |
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| Schreier showed that the fundamental group of such a space is always abelian. |
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| His results on this topic provided connections between number theory, theta functions, and the transformations of abelian functions. |
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| He had proved that compact abelian groups are dual to discrete abelian groups, and von Neumann was interested in extending this result. |
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| Gauss in 1801 was to take Euler's work much further and gives a considerable amount of work on modular arithmetic which amounts to a fair amount of theory of abelian groups. |
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| Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup. |
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| This note shows how to obtain an abelian group with an addition like operation beginning with a subtraction binary operation. |
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| Therefore abelian groups are completely characterized as subtractive groupoids. |
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| An abelian group is a group whose operation is commutative. |
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| In particular our assumptions hold if B is an abelian category with enough projectives. |
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| Chapter 2 is a brief introduction to some fundamental techniques for countable torsion-free abelian groups. |
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| This is what is called a free abelian group, where the second word derives from the name of the Norwegian mathematician Abel. |
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| We prove that certain degenerate abelian varieties, the compactified Jacobian of a nodal curve and a stable quasiabelian variety, satisfy autoduality. |
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