منابع مشابه
On the irreducible characters of Camina triples
The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N) and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.
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0.1. Let G be a connected reductive algebraic group defined over a finite field Fq and let G(Fq) be the finite group of all Fq-rational points of G. We would like to present here a strategy for computing the character table of G(Fq) , under the assumption that p, the characteristic of Fq , is sufficiently large. We can assume that G has a simply connected derived group. Indeed, in the general c...
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We study the finite groups G with a faithful irreducible character whose square is a linear combination of algebraically conjugate irreducible characters of G. In conclusion, we offer another proof of one theorem of Isaacs-Zisser. There are a few papers treating the finite groups possessing an irreducible character whose powers are linear combinations of appropriate irreducible characters, for ...
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We obtain an upper bound on the number of extended irreducible q-ary Goppa codes of degree r and length q + 1, where q = p and n and r > 2 are prime numbers.
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Fix a prime p > 7, put G = PSL(2,Fp), and write U for the multiplicative group of modular units of level p. We shall determine the irreducible subspaces of the natural representation of G on U/U. The outcome of the calculation can be described as follows: Every irreducible nontrivial representation of G over Fp occurs with multiplicity one in the maximal semisimple subspace of the “noncongruenc...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1984
ISSN: 0021-8693
DOI: 10.1016/0021-8693(84)90189-3