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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 57 for “"Abelian groups"”.
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Rational Schur Rings over Abelian Groups
… with sublattices of the lattice of subgroups of Z_n. This idea is easily extended to show that for any finite group G, sublattices of the lattice of characteristic subgroups of G give rise to rational S-rings over G in a natural way. Our main result is that any finite group may be …
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Laws of Wreath Products of Abelian Groups
Made available in DSpace on 2014-12-11T18:23:46Z (GMT). No. of bitstreams: 1 7212117.pdf: 2618023 bytes, checksum: ad79bb5a1e839054f113538264e50c64 (MD5) Previous issue date: 1971
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Decompositions of Finite Rank, Torsion-Free Abelian Groups
Made available in DSpace on 2014-12-11T18:23:43Z (GMT). No. of bitstreams: 1 7121096.pdf: 986182 bytes, checksum: f0edf9aa94b9e58f29d3eeddb4f1c694 (MD5) Previous issue date: 1971
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Topics of entropy in locally compact abelian groups
The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical …
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Integral Representations of Non-Abelian Groups of Order (Pq)
Made available in DSpace on 2014-12-09T22:17:17Z (GMT). No. of bitstreams: 1 6500887.pdf: 2773282 bytes, checksum: 51b86c6705afe64871688a9a656676cf (MD5) Previous issue date: 1964
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Free products of abelian groups in mapping class groups
… originally come from the study of Kleinian groups. The analogous notion of convex cocompactness for mapping class groups is due to Farb-Mosher. In recent work, Dowdall-Durham-Leininger-Sisto have proposed a definition of “parabolic” geometric finiteness for mapping class groups. In this …
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Applications Of The Subset Sum Problem Over Finite Abelian Groups
Given a finite abelian group $G$, a finite set $D$, and a mapping $f:D\rightarrow G$, we find the number of $r$-subsets $S\subseteq D$ where for $b\in G$, \begin{align*} \sum_{x\in S}f(x)=b. \end{align*} We obtain simple exact expressions when $f$ is an abelian group homomorphism. When $G=\Fq$, we …
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Abelian groups formed by reisdues with respect to a double modulus
Made available in DSpace on 2016-11-09T23:47:27Z (GMT). No. of bitstreams: 2 5977878_opt.pdf: 690172 bytes, checksum: 7b94297e64df09b07a98b89c8419212c (MD5) license.txt: 4183 bytes, checksum: 1dcc2037833d76bede73d5717587543b (MD5) Previous issue date: 1912
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Simplicial Complexes and a Partial Classification of Almost Completely Decomposable Torsion Free Abelian Groups
… problem of how different two quasi-isomorphic groups can be.
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Graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitively and applications to tensor products
"The graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitivity are completely characterized. The vertex transitive graphs belong to one of three families--the well known circulant graphs, the metacirculant graphs constructured by Alspach and Parsons, and a family …
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Alternative models for quantum computation/
… defined on Hilbert spaces associated with Abelian groups. These circuits generalize the Clifford group, and are composed of gates implementing quantum Fourier transforms, automorphisms, and quadratic phases. We show that these circuits can be simulated efficiently on a classical computer …
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Computability and Structure
… and Rabin [86] initiated the study of computable groups, and Turing [96, 95] started the investigation of effective procedures in analysis. The thesis in hand is divided into two parts. Part I contains results on computable abelian groups. More specifically, we introduce a new computably-theoretic …
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Applications of abelian algebraic structures in quantum computation
… quantum computers to solve problems defined on abelian groups. In this thesis, we study ways in which that ability can be leveraged in order to solve problems on more complex structures such as non-abelian groups and hypergroups. This leads to new quantum algorithms for the hidden subgroup …
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Groups in Which Commutativity Is a Transitive Relation
… dissertation is concerned with the class of CT-groups. Finite and locally finite CT-groups are studied in detail with structure theorems given in both solvable and insolvable cases. The investigation of solvable CT-groups leads naturally to the study of fixed-point-free groups of automorphisms …
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Un ejemplo de teoría de homotopia en los grupos abelianos
… a new homotopy theory in the category of abelian groups. The homotopy category of this theory has the following property: if an abelian group A admits the structrure of an R-module, then A has the homotopy type of the zero abelian group. As a consequence of this fact, this theory is a …
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Examples in the symbolic calculus for measures
… of the measure algebra of a locally compact abelian group to establish results of the kind wanted. These methods are employed to find measures on any Iocally compact abelian group on which only analytic functions operate. These measures arise from Bernoullii convolutions. The extensive …
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Applications of Homological Algebra to Equational Theories
… well-known that some equational theories such as groups or Boolean algebras can be defined by fewer equational axioms than the original axioms. However, it is not easy to determine if a given set of axioms is the smallest or not. Malbos and Mimram investigated a general method to find a lower …
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A contribution to the foundations of the theory of Quasifibration
… modulo a suitable Serre class [Se] of abelian groups. For the sake of having the thesis self-contained, we include a formal discussion of localization of 1-connected spaces and Serre classes of abelian groups. This summarizes the scope of the thesis. More detail on the content of the …
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