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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 64 for “"conjugacy"”.
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Solutions to the conjugacy search and decision problems in the braid group using finite conjugacy class invariants
For two braids, A, B ∈ Bn, the conjugacy decision problem asks whether another braid X ∈ Bn exists such that X−1 A X = B. If we know A, B ∈ Bn are indeed conjugate, the conjugacy search problem asks us to find a braid Y ∈ Bn such that Y −1 A Y = B. In this dissertation we investigate a number of …
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Conjugacy and Other Results in Leibniz Algebras.
North Carolina State University Theses Mathematics.
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Conjugacy Classes of the Piecewise Linear Group
… a complete set of invariants to classify the conjugacy classes of this group. Our approach to this problem relies on the factorization of elements into elements having only a single breakpoint.
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The Conjugacy Problem in Certain Product Groups
Made available in DSpace on 2014-12-11T18:24:13Z (GMT). No. of bitstreams: 1 7511752.pdf: 2869884 bytes, checksum: 9d58a70cdc63da2f71357e34250582e9 (MD5) Previous issue date: 1974
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Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups
<p>In this thesis we obtain the growth rates for conjugacy classes of reciprocal words for triangle groups of the form G = Z2 ∗ H where H is finitely generated and does not contain an order 2 element. We explore cases where H is infinite cyclic and finite cyclic. The quotient O = H/G is an orbifold …
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Bounding the Order of a Group with a Large Conjugacy Class
No abstract prepared.
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Existence and Conjugacy of Hall Subgroups and Embedding of Pi-Subgroups
Let G be a finite group and let $\pi$ be a set of primes. A Hall $\pi$-subgroup H is a subgroup of G such that H is divisible by only primes in $\pi$ and (G: H) is divisible by no primes in $\pi$. This is also written as "G satisfies $E\sb\pi$." If in addition any two Hall $\pi$-subgroups are …
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Relative Springer isomorphisms and the conjugacy classes in Sylow p-subgroups of Chevalley groups
… the adjoint orbits of \(U\) and show that the conjugacy classes of \(U(q)\) are in correspondence with the \(F\)-stable adjoint orbits of \(U\). This allows us to deduce results about the conjugacy classes of \(U(q)\). We are also interested in the adjoint orbits of \(B\) in …
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A study of interhemispheric magnetic conjugacy and large scale magnetosphere-ionosphere coupling using SuperDARN radars
… the role of interhemispheric magnetic conjugacy in magnetosphere-ionosphere coupling and study the large-scale interactions between the magnetosphere and ionosphere. SuperDARN radars cover large geographic regions in both hemispheres and have a dataset spanning more than a decade, …
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Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups
In this thesis we prove conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple …
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Solving Algorithmic Problems in Finitely Presented Groups via Machine Learning
… to construct classifiers that can solve the conjugacy decision problem, i.e., determine whether or not a pair of elements from a specified group are conjugate. The accuracies of classifiers created using decision trees, random forests, and <em>N</em>-tuple neural network models are evaluated …
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The Structure of the Cayley Complex and a Cubic-Time Algorithm for Solving the Conjugacy Problem for Groups of Prime Alternating Knots
This paper is as self-contained as possible, requiring only some familiarity with groups and with some concepts from first-year topology; some experience with graphs and/or geometric 2-complexes is helpful. The preface includes a history of knot theory and combinatorial group theory.
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Conjugation in abstract semigroups
… Finding classes of semigroups in which primary conjugacy is transitive is an interesting open problem. Kudryavtseva proved that transitivity holds for completely regular semigroups, and more recently Araújo et al. proved that transitivity also holds in the variants of completely regular …
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A Structure-based Attack on the Linearized Braid Group-based Diffie-Hellman Conjugacy Problem in Combination with an Attack using Polynomial Interpolation and the Chinese Remainder Theorem
… the so-called braid group-based Diffie-Hellman conjugacy problem (BDHCP). The general procedure of the attack is to transform a BDHCP to the problem of solving several simultaneous matrix equations. A first improvement is achieved by reducing the solution space of the matrix equations to …
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Radical <em>p</em>-chains in L<sub>3</sub>(2).
… are the normalizers of representatives of conjugacy classes of radical <em>p</em>-chains of <em>G</em>. For this reason, it is of interest to study radical <em>p</em>-chains. In this thesis, we examine the group L<sub>3</sub>(2) and determine representatives of the conjugacy classes of …
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Unipotente Charaktere und Zerlegungszahlen der endlichen Chevalleygruppen vom Typ F 4
… can compute Bruhat decompositions, centralizers, conjugacy classes, fusions and intersection numbers of conjugacy classes with double cosets. The most crucial point is, that all these computations can be done for all finite fields simultaneously.Second we use these algorithms to determine the …
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Closed orbits in quotient systems
If we have topological conjugacy between two continuous maps, T : X → X and T 0 : X0 → X0 , then counts of closed orbits and periodic points are preserved. However, if we only have topological semi-conjugacy between T and T 0 , then anything is possible, and there is, in general, no relationship …
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Counting and Averaging Problems in Graph Theory
… on H with compact quotient, and choose a conjugacy class in this group. Count the number of vertices inside an increasing ball, which are images of a fixed point x in H under automorphisms in the chosen conjugacy class, and describe the asymptotic behaviour of this number as the size of …
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Topological Hochschild homology of twisted group algebras
… wedge-sum on the left hand side ranges over the conjugacy classes of elements of G and the equivalence depends on a choice of representative g E (g) of every conjugacy class of elements in G.
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