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Showing 1 to 20 of 307 for “"abelian"”.
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Degenerating abelian varieties via log abelian varieties
… any given split totally degenerate semi-stable abelian variety over a complete discrete valuation field. Such models are used to construct a log abelian variety over the corresponding discrete valuation ring (endowed with the canonical log structure), which extends the given abelian variety.
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Quintic Abelian Fields
Quintic abelian fields are characterized in terms of their conductor and a certain Galois group. From these, a generating polynomial and its roots and an integral basis are computed. A method for finding the fundamental units, regulators and class numbers is then developed. Tables listing the …
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Abelian algebras and adjoint orbits
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1981.
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Abelian Tits sets of index type
Sferische gebouwen werden geïntroduceerd door Jacques Tits rond 1960 en geven een combinatorisch framework voor het bestuderen van half-enkelvoudige algebraïsche groepen. De sferische gebouwen van rang minstens 3 werden geclassificeerd door Tits, deze van rang 2 werden, onder een extra voorwaarde …
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Rational Schur Rings over Abelian Groups
… group of such a rational S-ring over an abelian p-group. In order to show this, we first give a complete description of the automorphism classes and characteristic subgroups of finite abelian groups. We show that for a large class of abelian groups, including all those of odd order, the …
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Three viewpoints on semi-abelian homology
… and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the …
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups as homomorphic images of permutation or monomial progenitors, as well grasping a deep understanding of group theory and extension theory to determine groups up to …
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On projective representations on funite abelian group
… Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups. Our objective here is to determine the Inequivalent Irreducible projective representations of …
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On projective representations on funite abelian group
… Schur multipliers of some of the finite abelian groups.The study of the schur multipliers of abelian groups is the first step in the studying of the projective representations of such groups. Our objective here is to determine the Inequivalent Irreducible projective representations of …
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Majorana qubits in non-Abelian topological superconductors
Non-Abelian superconductors are novel systems with exotic quasiparticle excitations, namely Majorana fermions, which obey non-Abelian quantum statistics. They are exploited as hardware platforms for fault-tolerant topological quantum computing. In this thesis, we primarily study the non-topological …
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Laws of Wreath Products of Abelian Groups
Made available in DSpace on 2014-12-11T18:23:46Z (GMT). No. of bitstreams: 1 7212117.pdf: 2618023 bytes, checksum: ad79bb5a1e839054f113538264e50c64 (MD5) Previous issue date: 1971
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Some aspects of non-Abelian gauge theories
… we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling …
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Equilibrium states of ferromagnetic abelian lattice systems
Ferromagnetic abelian lattice systems are the topic of this paper. Namely, at each site of ZV-invariant lattice is placed a finite abelian group. The interaction is given by any real, negative definite, and translation invariant function on the space of configurations.Algebraic structure of the …
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