NONVANISHING ELEMENTS FOR BRAUER CHARACTERS
نویسندگان
چکیده
منابع مشابه
On Degrees of Irreducible Brauer Characters
Based on a large amount of examples, which we have checked so far, we conjecture that |G|p′ ≤ ∑ φ φ(1) 2 where p is a prime and the sum runs through the set of irreducible Brauer characters in characteristic p of the finite group G. We prove the conjecture simultaneously for p-solvable groups and groups of Lie type in the defining characteristic. In non-defining characteristics we give asymptot...
متن کاملA Note on Lifting Brauer Characters
A Brauer character of a finite group may be lifted to an ordinary character if it lies in a block whose defect groups are contained in a normal p-solvable subgroup. By the Fong-Swan theorem [2, Theorem 72.1], an irreducible Brauer character of a finite p-solvable group G may be lifted to an ordinary (complex) character of G. In other words, every Brauer character is the restriction of some ...
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0. Introduction In a rst course in representation theory one usually learns that there are two important relations for characters of a nite group, the rst orthogonality relation and the second orthogonality relation. When one moves on to study algebras which are not necessarily group algebras it is not clear, apriori, that the study of characters would be fruitful, and one encounters various pr...
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We prove quantitative nonvanishing theorems for central values and central derivatives of L–series associated to canonical Hecke characters of imaginary quadratic fields. These results have applications to the study of Chow groups of Kuga-Sato varieties. Some key ingredients in the proofs are bounds for `-torsion in class groups obtained recently by Ellenberg and Venkatesh [EV], and subconvexit...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2015
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788715000178