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Some problems in algebraic topology : polynomial algebras over the Steenrod algebraAlghamdi, Mohamed A. M. A. January 1991 (has links)
We prove two theorems concerning the action of the Steenrod algebra in cohomology and homology. (i) Let A denote a finitely generated graded F<sub>p</sub> polynomial algebra over the Steenrod algebra whose generators have dimensions not divisible by p. The possible sets of dimensions of the generators for such A are known. It was conjectured that if we replaced the polynomial algebra A by a polynomial algebra truncated at some height greater than p over the Steenrod algebras, the sets of all possible dimensions would coincide with the former list. We show that the conjecture is false. For example F<sub>11</sub>[x<sub>6</sub>,x<sub>10</sub>]<sup>12</sup> truncated at height 12 supports an action of the Steenrod algebra but F<sub>11</sub>[x<sub>6</sub>,x<sub>10</sub>] does not. (ii) Let V be an elementary abelian 2-group of rank 3. The problem of determining a minimal set of generators for H*(BV,F<sub>2</sub>) over the Steenrod algebra was an unresolved problem for many years. (A solution was announced by Kameko in June 1990, but is not yet published.) A dual problem is to determine the subring M of the Pontrjagin ring H*(BV,F<sub>2</sub>). We determine this ring completely and in particular give a verification that the minimum number of generators needed in each dimension in cohomology is as announced by Kameko, but by using completely different techniques. Let v ε V - (0) and denote by a_5(v) ε H*(BV,F<sub>2</sub>) the image of the non-zero class in H<sub>2s-1</sub>(RP<sup>∞</sup>,F<sub>2</sub>) imeq F<sub>2</sub> under the homomorphism induced by the inclusion of F<sub>2 → V onto (0,v). We show that M is isomorphic to the ring generated by (a</sub>_s(v),s ≥ 1, v ε V - (0)) except in dimensions of the form 2^r+3 + 2^r+1 + 2^r - 3, r ≥ 0, where we need to adjoin our additional generator.
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Solvability of equations by radicals /Brown, Robert Wallace. January 1952 (has links)
Thesis (M.S.)--Oregon State College, 1952. / Typescript. Includes bibliographical references (leaf 21). Also available on the World Wide Web.
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Dimension functions of rationally dilated wavelets /Hoover, Kenneth R., January 2007 (has links)
Thesis (Ph. D.)--University of Oregon, 2007. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 80-83) and index. Also available for download via the World Wide Web; free to University of Oregon users.
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The second Chinburg conjecture for quaternion fields.Tran, Minh Van. Snaith, V. P. Unknown Date (has links)
Thesis (Ph. D.)--McMaster University (Canada), 1996. / Source: Dissertation Abstracts International, Volume: 58-06, Section: B, page: 3083. Adviser: V.P. Snaith.
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Remarkable sets of algebraic numbers in complete fields.Smyth, Christopher James. January 1969 (has links) (PDF)
Thesis (M.A. 1971) from the Department of Mathematics, University of Adelaide.
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Singularities of a certain class of toric varieties a dissertation /Mukherjee, Himadri. January 1900 (has links)
Thesis (Ph. D.)--Northeastern University, 2008. / Title from title page (viewed March 26, 2009). Graduate School of Arts and Sciences, Dept. of Mathematics. Includes bibliographical references (p.80-82).
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Imaginary functionsDavis, Floyd. January 1882 (has links) (PDF)
Thesis (B.S.)--University of Missouri, School of Mines and Metallurgy, 1882. / The entire thesis text is included in file. Holograph [Handwritten and illustrated in entirety by author]. Title from title screen of thesis/dissertation PDF file (viewed January 6, 2009)
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Effects of singularities of rational curves upon the symmetric correspondence between residuals on their tangentsLarrivee, Jules A. January 1942 (has links)
Thesis (Ph. D.)--Catholic University of America, 1942. / Reproduced from type-written copy.
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Pierce-Engel hybrid expansionsSutyak, Andrea. January 1900 (has links)
Thesis (Ph. D.)--West Virginia University, 2008. / Title from document title page. Document formatted into pages; contains iv, 45 p. : ill. Includes abstract. Includes bibliographical references (p. 45).
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Finite subgroups of three dimensional rotation groups,Friesen, Donald Kent, January 1966 (has links)
Thesis--Dartmouth College, 1966. / Bibliography: leaf 36.
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