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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 18 of 18 for “"Cyclic Groups"”.
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Expectation Numbers of Cyclic Groups
… first and second expectation numbers of large cyclic groups. The first chapter introduces the kth expectation number. This formula allows us to determine the expected size of any group. Explicit examples and computations of the first and second expectation number are given in the second …
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Zero-sum problems in finite cyclic groups
… as zero-sum 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 …
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The indecomposable integral representations of finite cyclic groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1962.
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Cayley maps for certain cyclic groups with odd generators
… begin the classification of Cayley maps for the cyclic group Z , where p is prime, with generating set O consisting of the odd integers; Due to the local symmetry that is specified at each vertex, it is possible to represent such a Cayley map by an index one voltage graph embedding (a pseudograph …
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Integral Representations of Cyclic Groups of Order P('2)
Made available in DSpace on 2014-12-05T21:50:21Z (GMT). No. of bitstreams: 1 6200683.pdf: 2301557 bytes, checksum: ed2e19d738328a046feb6a57003feedf (MD5) Previous issue date: 1961
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Integral Representations of Cyclic Groups of Square-Free Order
Made available in DSpace on 2014-12-05T21:50:24Z (GMT). No. of bitstreams: 1 6303309.pdf: 1243208 bytes, checksum: 5554cf3da42f3a1b55de8cd7b0b87987 (MD5) Previous issue date: 1962
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Ore's theorem
… results relating distributive lattices with cyclic groups.</p>
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Ore's theorem
… results relating distributive lattices with cyclic groups.</p>
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A classification of groups satisfying the converse of Lagrange's theorem
This paper is a classification of finite groups satisfying the converse of Lagrange's Theorem. We begin by showing a series of inclusions of classes of finite groups: p-groups {dollar}\subseteq{dollar} nilpotent {dollar}\subseteq{dollar} supersolvable {dollar}\subseteq{dollar} polycyclic …
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On groups and initial segments in nonstandard models of Peano Arithmetic
This thesis concerns M-finite groups and a notion of discrete measure in models of Peano Arithmetic. First we look at a measure construction for arbitrary non-M-finite sets via suprema and infima of appropriate M-finite sets. The basic properties of the measures are covered, along with …
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The automatic design of experiments : Some practical algorithms.
… fractions first by applying the theory of cyclic groups; then further reduction in the size of the design by using the trace and determinant of the information matrix. The application of the algorithms is illustrated with examples drawn from the physical sciences, particularly metallurgy. …
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Elliptic Curves
… <strong><em>Z </em></strong><em></em>and finite cyclic groups. The number of finite copies of <strong><em>Z</em></strong> is called the rank of <em>E</em>(<strong><em>Q</em></strong>).</p> <p>From John Tate and Joseph Silverman we have a formula to compute the rank of curves of the form …
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Universal completions of the cyclic amalgams of the same type
… which is isomorphic to direct product of m cyclic groups of order q where q = p\(^n\) for some prime p. Then Aut(G) is isomorphic to the set of m×m matrices with determinant coprime to p, GL\(_m\) (e\(_q\)) Also Aut(G)=p\(^{(n-1)}\) \(^{(m2)}\) GL\(_m\) (Z\(_q\)). If \(\alpha\)is an …
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Separability within alternating groups and randomness
… promotes known residual properties of free groups, surface groups, right angled Coxeter groups and right angled Artin groups to the situation where the quotient is only allowed to be an alternating group. The proofs follow two related threads of ideas. The first thread leads to `alternating' …
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Minorant properties
… of function on some commutative topological groups. We show that the positive minorant property fails on the cyclic group of order n when 0 <p < 2[(n — 1)/2] and p is not even. This relation between p and n is different from the one for matrices, and yet both seem to be optimal. We also show …
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Non-Abelian Composition Factors of m-Rational Groups
… problems in the representation theory of finite groups of Lie type. In Chapter 2, we will give essential background material that will be useful for the entirety of the thesis. We will investigate the construction of groups of Lie type, as well as their representations. We will define the field …
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Formulae for symmetric powers and tensor products of modular representations of elementary abelian p-groups
… products in the context of elementary abelian p-groups remains underdeveloped in the existing literature. This research addresses this gap by systematically developing explicit mathematical formulas for these operations within such groups. A central objective is to extend the results on …