# Browse Dissertations and Theses - Mathematics by Title

• (1984)
A Peiffer-Whitehead word system W, or generalized group presentation, consists of generators for a free group and words of various orders n (GREATERTHEQ) 2 representing elements of the free group (n = 2), a free crossed ...

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• (1991)
We obtain the following generalization of the Kummer congruence: G\sb{c}(j,\chi,n) = -\left\lbrack{p\sp{-1}\Delta\sb{\rm c}\atop j}\right\rbrack {1\over n}(1 - \chi\omega\sp{-n}(p)\ p\sp{n-1}) B\sb{n,\chi\omega\sp{-n}} ...

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• (2007)
Generalized local cohomology is used to study the Canonical Element Conjecture. Among other things, we prove special cases of a more general theorem that hold irrespective of the validity of the Canonical Element Conjecture.

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• (1964)

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• (1965)

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• (1961)

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• (1966)

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• (2017-12-08)
We study two different problems: generic behavior of a measure preserving transformation and extending partial isometries of a compact metric space. In Chapter $1$, we consider a result of Del Junco--Lema\'nczyk [\ref{DL_B}] ...

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• (1975)

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• (1983)
Given an integrable G-structure P and a closed subgroup H of G, we assign to each H-reduction of P a singular set in the base manifold. Our first main result is that generically, this singular set is a finite disjoint union ...

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• (1983)
We study the (narrow) genus group of an abelian extension of number fields using a four term exact sequence of abelian groups derived from work of Frohlich. There are two main results. First, if L/K is a cyclic l-extension, ...

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• (1954)

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• (1990)
Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geometric and dynamical properties of geodesics orthogonal to the leaves of the foliation are studied.

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• (1992)
Suppose that X is a real or complex Banach space with norm $\vert \cdot \vert$. Then X is a Hilbert space if and only if $E\vert x + Y\vert \geq 1$ for all x $\in$ X and all X-valued Bochner integrable functions Y on the ...

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• (2000)
We introduce a new factorization for elements of the loop group LSL2 = SL2( C ((lambda-1))). We then define a new decomposition for the flag manifold FL2 = LSL2/ B+ (= SL2&d14;/B&d14; + ), into isomorphic overlapping ...

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• (1962)

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• (2004)
For the Demazure desingularization, we investigate a lattice in the smooth locus, give an explicit decomposition formula of its matrix presentation as a product of affine reflections, and construct a smooth projective ...

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• (2012-02-06)
A GKM manifold is a symplectic manifold with a torus action such that the fixed points are isolated and the isotropy weights at the fixed points are linearly independent. Each GKM manifold has a GKM graph which contains ...

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• (2000)
This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of ...

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• (1995)
We prove a global result for rational functions that is analogous to a local theorem of L. E. Boettcher (1904). Under the hypotheses that f is a complex rational function with a superattractive fixed point $\alpha$ of order ...

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