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 10 of 10 for “"permutation group"”.
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A Characterization of the Symplectic Group as A Rank Three Permutation Group
Made available in DSpace on 2014-12-11T18:24:16Z (GMT). No. of bitstreams: 1 7511762.pdf: 3112290 bytes, checksum: eafe4863b7aa11e88422d027bc957fc8 (MD5) Previous issue date: 1974
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Rank 3 permuation characters and maximal subgroups
Let G be a transitive permutation group acting on a finite set E. Let P be a stabilizer in G of a point in E. We say G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1 \(\frac{G}{H}\) the permutation character or permutation …
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Differential attacks using alternative operations and block cipher design
… algebraic attack, based on the action of the permutation group generated by the round functions of the cipher.
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Homomorphic Images And Related Topics
… Robert T Curtis, is a special type of infinite group formed by a semi-direct product of a free group m<sup>*</sup><sup>n</sup> and a transitive permutation group of degree n. Since progenitors are infinite, we add necessary relations to produce finite homomorphic images. Curtis found that any …
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Invariant polynomials and machine learning
… events where our system is Lorentz- and permutation-invariant. In the latter, the vectors represent the positions of atoms in molecules (or lattices) where our systems are Euclidean- and permutation-invariant. We start by focusing on the algebras of invariant polynomials in these vectors …
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Finite Groups Acting on Sets With Applications
… Magazine appears an article entitled "Finite Groups Acting on Sets With Applications," by Louis W. Shapiro. The article poses a series of problems in a step-by-step manner involving finite group action on sets, the Polya-Burnside Theorem, and the First and Second Sylow Theorems. The purpose or …
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Reps for JIMWLK: applications of representation theory to a novel approach to the JIMWLK equation
… goal, using irreducible representations of the permutation group Sk and recently-developed Hermitian Young projection operators [2–4]. Our method directly produces the basis for these singlets, avoiding the need to construct a basis for all multiplets and project out the singlets, as is common …
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The construction of DNA codes using a computer algebra system
… constraint is studied using involutions in a permutation group. Codes constructed in this thesis are derived from linear codes over GF(4) and Z4 and additive codes over GF(4). Previous approaches to the construction of these codes are extended in several ways. Longer codes are constructed, the …
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… is to show constructions of some of the sporadic groups such as the Mathieu group, M<sub>12</sub>, J<sub>1</sub>, Projective Special Linear groups, PSL(2,8), and PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups as …