p-Steinberg Characters of Finite Simple Groups
نویسندگان
چکیده
منابع مشابه
Irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$
Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.
متن کاملirreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$
here we construct and count all ordinary irreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$.
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The proof of this theorem is based on the correspondence between the characters of a uniform pro-p group and the orbits of the action of the group on the dual of its Lie algebra. This result is an analogue of the Kirillov theory, introduced first in the context of nilpotent Lie groups and then used in many other situations (see [7]). The correspondence is quite explicit and it also gives the ex...
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متن کاملCharacters 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...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.6791