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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 group"”.
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On projective representations on funite abelian group
… Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups. Our objective here is to determine the Inequivalent Irreducible projective representations of …
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On projective representations on funite abelian group
… Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups. Our objective here is to determine the Inequivalent Irreducible projective representations of …
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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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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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Generalized nowhere zero flow
Let G be an undirected graph, A be an (additive) abelian group and A* = A - {lcub}0{rcub}. A graph G is A-connected if G has an orientation D(G) such that for every function b : V(G ) A satisfying Sv∈VG b(v) = 0, there is a function f : E(G) A* such that at each vertex v ∈ V(G), …
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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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Local list decoding of homomorphisms
… decodability of codes whose codewords are group homomorphisms. The study of such codes was intiated by Goldreich and Levin with the seminal work on decoding the Hadamard code. Many of the recent abstractions of their initial algorithm focus on Locally Decodable Codes (LDC's) over finite …
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Extending the language and applications of Maude-NPA through rewriting semantics
… property of homomorphic encryption over an Abelian group, which enables analysis of protocols having homomorphic encryption over abelian group in Maude-NPA; (ii) it extends the strand space model with support for choice, and develops a protocol process algebra with choice constructors; as a …
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Lifting Automorphisms to Stem Extensions of a Finite Group
A central extension of finite groups e: 0 (--->) A (--->) E (--->) G (--->)1 is said to be a stem extension of G if A is contained in the commutator subgroup E' of E. Schur showed that A must be isomorphic to a subgroup of the finite abelian group M = M(G) = H('2)(G,(//C)('(.))), where …
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Zero-sum problems in finite cyclic groups
… theory. A zero-sequence in a finite cyclic group G is said to have the basic property if it is equivalent under group automorphism to one which has sum precisely IGI when this sum is viewed as an integer. This thesis investigates two major problems, the first of which is referred to as the …
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Steinitz Classes of Tamely Ramified Nonabelian Extensions of Algebraic Number Fields of Degree P(3)
… J})$ of ${\cal J}$ in the ideal class group C(k) of k is the Steinitz class C(L,k) of ${\cal D}\sb{L}$. Now let G be a finite group of order n. As L varies over all normal extensions of k such that Gal(L/k) $\simeq$ G, C(L,k) varies over a subset of C(k). These are the realizable …
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An Equal-Distribution Result for Galois Module Structure
… ring of integers o, and let G be a fixed finite group. If K$\sb\pi$ is a tame Galois G-extension, the integral closure ${\cal O}\sb\pi$ of o in K$\sb\pi$ is a locally free rank one oG-module, so realizes a class cl(${\cal O}\sb\pi$) in the locally free class group Cl(oG). We let R(oG) denote the …
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Koszul duality for multigraded algebras
… meaning that the algebra can be graded by any abelian group (not just the integers). Second, we will allow filtered algebras. In fact we are considering filtered quadratic algebras with an (internal) multigrading.
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A Geometric Model for Real and Complex Differential K-theory
… spaces of the spectra and use them to define an abelian group structure on maps up to an equivalence relation that refines homotopy. Finally we define the differential K-theory functors and verify the axioms of Bunke-Schick for a differential cohomology theory.</p>
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Computational problems in algebra: units in group rings and subalgebras of real simple Lie algebras
… algorithm for obtaining generators of the unit group of the integral group ring ZG of finite abelian group G. We use our implementation in MAGMA of this algorithm to compute the unit group of ZG for G of order up to 110. In the second part of the thesis I show how to construct multiplication …
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Topics In Nonabelian Tensor Products Of Topological Groups
… linear algebra with generalisations to abstract abelian group theory and modules. In this MSc thesis we study further generalisations of tensor products to non-abelian groups as well as topological groups. We encounter a rich existing theory of compact topological groups, which we are going to …
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Equilibrium states of ferromagnetic abelian lattice systems
Ferromagnetic abelian lattice systems are the topic of this paper. Namely, at each site of ZV-invariant lattice is placed a finite abelian group. The interaction is given by any real, negative definite, and translation invariant function on the space of configurations.Algebraic structure of the …
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A motivic norm structure on equivariant algebraic K-theory
… is a homotopy theory of schemes with algebraic group actions. This thesis is mainly divided into two parts. In the first part, we define four model categories of motivic spectra that present the $\infty$-category $\SH^G(S)$. We use the model categorical setup to reproduce the motivic norm …
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Strange Attractors of Uniform Flows (Cantor Set, Solenoid)
… to an irrational rotation on a certain compact abelian group. New examples are constructed of orbitally stable attractors of uniform C('(INFIN)) flows whose cross-sections have uncountably many components (one of these attractors has positive 3-dimensional Lebesgue measure).
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