Global ETD Search
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 18 of 18 for “"Locally Finite"”.
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Locally finite near-fields
A near-field is locally finite if every finite subset of it generates a finite sub-near-field. The main aim of this thesis is to give a coherent account of locally finite-near-fields, including finite ones. The well known results for finite near-fields are lised and proofs are given where …
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Locally finite near-fields
A near-field is locally finite if every finite subset of it generates a finite sub-near-field. The main aim of this thesis is to give a coherent account of locally finite-near-fields, including finite ones. The well known results for finite near-fields are lised and proofs are given where …
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First l²-Cohomology Groups
… group H^1(G, l^2(G)), in particular when G is locally-finite. First, though, we discuss some results about the space H^1(G, C G) for G locally-finite, as well as the space H^1(G, l^2(G)) when G is finitely generated. We show that, although in the case when G is finitely generated the embedding …
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Groups in Which Commutativity Is a Transitive Relation
… 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 of …
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Distance-Regular Graphs and Generalizations
… graph (GAMMA) is an undirected, locally finite graph where for any vertices u,v,x,y, (PAR-DIFF)(u,v) = (PAR-DIFF)(x,y) implies (sigma)u = x and (sigma)v = y for some automorphism (sigma) of (GAMMA). Distance-transitive graphs have certain combinatorial properties, which can be …
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Group automorphisms of incidence algebras.
… incidence algebra, where FI(P) = I(P) for locally finite posets (P,≤). We investigate the group of units U(FI(P)) of incidence algebras and its normal subgroups. This includes the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. …
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The property B(P,[alpha])-refinability and its relationship to generalized paracompact topological spaces
… A B(P,∝)-refinement is a generalization of a σ-locally finite-closed refinement. Here ∝ is a fixed ordinal which dictates the number of "levels" in a given refinement, and P represents a property such as discreteness or local finiteness which each "level" must satisfy relative to a certain …
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Generalised Loewner Evolutions and their driving measures
… measures, i.e. a time-dependent family of locally finite measures defined on the domain boundaries. There are two variants of Loewner chains where the functions f_t are either normalised at an interior or at a boundary point. Radial Loewner Evolutions are usually defined on the unit disc D …
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Homology of Group Von Neumann Algebras
… a flat CG-module if and only if the group G is locally virtually cyclic. This paper proves that if G is locally virtually cyclic, then N(G) is flat as a CG-module. The converse is proved for the class of all elementary amenable groups without infinite locally finite subgroups. Foundational cases …
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Discrete and free subgroups of SL₂
In this thesis, we study finitely generated subgroups of the matrix group SL₂ (over various locally compact fields) which are both discrete and free. We first examine the existing literature on two- and three-generated subgroups of SL₂(R) and SL₂(C). Some such subgroups are known to be free, and …
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First Cohomology of Some Infinitely Generated Groups
… group of groups G that are not necessarily finitely generated. Our focus is on l^p-cohomology, 1 leq p leq infty, and what results regarding finitely generated groups change when G is infinitely generated. In particular, for abelian groups and locally finite groups, the l^p-cohomology is …
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A Mass Minimizing Flow for Real-Valued Flat Chains with Applications to Transport Networks
… flat chains by finding a real current of locally finite mass with the property that its restrictions are flat chains; the slices of such a restriction dictate the flow. Keeping the boundary fixed, this flow reduces the M^α mass of the initial chain and is Lipschitz continuous under the …
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On M-spaces and M*-spaces
… for M-spaces and M*-spaces and establish the Locally Finite Sum Theorem for M-spaces and M*-spaces. In Chapter VI, we give an example of a T₂, locally compact M-space X, which is not normal and therefore not metrizable. We also give an example of a T₂, locally compact M*-space Y, which is not …
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Delaunay Configuration B-Splines
… on the knot set, both variants exhibit the local finiteness property, i.e., these spline spaces are locally finite-dimensional and at each point only a finite number of basis candidate functions have a nonzero value. Additionally, we establish a criterion guaranteeing these properties within a …
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Cohomological invariants for infinite groups
… are H1F-groups. These are groups that act on finite-dimensional contractible CW-spaces with finite stabilisers. Important examples of these are given by groups admitting a finite-dimensional classifying space for proper actions EFG. A large part of the thesis is motivated by an old conjecture …
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Cellular mappings on manifolds
… itself which are the identity on the boundary is locally contractible. The main theorem of Chapter two is that a mapping f of the n-sphere, n <strong>≠</strong> 4, onto itself is cellular if and only if f has a continuous extension which maps the interior of the n+1 ball homeomorphically onto …
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Point processes in statistical mechanics : a cluster expansion approach
… process is a mechanism, which realizes randomly locally finite point measures. One of the main results of this thesis is an existence theorem for a new class of point processes with a so called signed Levy pseudo measure L, which is an extension of the class of infinitely divisible point …
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Poset saturation and other combinatorial results
… to the area of poset saturation. Given a finite poset P, we call a family F of subsets of [n] P-saturated if F does not contain an induced copy of P, but adding any other set to F creates an induced copy of P. The size of the smallest P-saturated family with ground set [n] is called the …