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Showing 1 to 6 of 6 for “"character theory"”.
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Character Theory and Artin L-functions
… and Heilbronn, we implement representation theory together with the Artin formalism to study L-functions in this thesis. One of the major themes is motivated by the work of Heilbronn and many others on classical Heilbronn characters. We define the arithmetic Heilbronn characters and apply …
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Transchromatic generalized character maps
"In ""Generalized Group Characters and Complex Oriented Cohomology Theories"", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this paper we use the geometry of p-divisible groups to describe a sequence of …
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On projective representations on funite abelian group
… with factor set a take on non zero character values. Here we review these results, and determine the Inequivalent Irreducible characters corresponding to these oc-regular classes. In particular, a complete set of irreducible inequivalent projective characters is obtained for these …
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On projective representations on funite abelian group
… with factor set a take on non zero character values. Here we review these results, and determine the Inequivalent Irreducible characters corresponding to these oc-regular classes. In particular, a complete set of irreducible inequivalent projective characters is obtained for these …
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Non-Abelian Composition Factors of m-Rational Groups
… discuss several 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 …
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Orders of Perfect Groups with Dihedral Involution Centralizers
… is a Sylow 2-subgroup of G. We then use character-theoretic techniques to generate a list of possibilities for the order of G. In the process of generating this list of possible orders, we prove several results about the structure of our group under consideration. We then strengthen the …