Approximate extension of partial ε-characters of abelian groups to characters with application to integral point lattices
نویسندگان
چکیده
منابع مشابه
Characters of Finite Abelian Groups
Example 1.2. The trivial character of G is the homomorphism 1G defined by 1G(g) = 1 for all g ∈ G. Example 1.3. Let G be cyclic of order 4 with generator γ. Since γ4 = 1, a character χ of G has χ(γ)4 = 1, so χ takes only four possible values at γ, namely 1, −1, i, or −i. Once χ(γ) is known, the value of χ elsewhere is determined by multiplicativity: χ(γj) = χ(γ)j . So we get four characters, wh...
متن کاملCharacters of Finite Abelian Groups
When G has size n and g ∈ G, for any character χ of G we have χ(g)n = χ(gn) = χ(1) = 1, so the values of χ lie among the nth roots of unity in S1. More precisely, the order of χ(g) divides the order of g (which divides #G). Characters on finite abelian groups were first studied in number theory, since number theory is a source of many interesting finite abelian groups. For instance, Dirichlet u...
متن کاملCharacters of Finite Abelian Groups (short Version)
Example 1.2. The trivial character of G is the homomorphism 1G defined by 1G(g) = 1 for all g ∈ G. Example 1.3. Let G be cyclic of order 4 with generator γ. Since γ4 = 1, a character χ of G has χ(γ)4 = 1, so χ takes only four possible values at γ, namely 1, −1, i, or −i. Once χ(γ) is known, the value of χ elsewhere is determined by multiplicativity: χ(γj) = χ(γ)j . So we get four characters, wh...
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this thesis aims to adduce an unmitigated and comprehensive explication concerning the relationship of three significant elements of fiction: setting, chracter and theme. my research is basically placed on two outstanding novels of the 19th century: emily brontes wuthering heights and thomas hardys return of the native. my endeavour lies in studying the correlation among the three above-mention...
15 صفحه اولCharacters of Nonlinear Groups
Two of the primary methods of constructing automorphic forms are the Langlands program and Howe's theory of dual pairs. The Langlands program concerns a reductive linear group G deened over a number eld. Associated to G is its dual group L G. The con-jectural principle of functoriality says that a homomorphism L H ! L G should provide a \transfer" of automorphic representations from H to those ...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2005
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(05)80026-6