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898
LINEAR LIMITS OF IRREDUCIBLE CHARACTERS
, 2004
"... Nearly twenty years ago Isaacs and the first author of this paper wrote a series of articles [4], [2], [3] about what were called “stabilizer limits ” of group characters, following the terminology of Berger [1]. The second author, in her thesis [5], needed one of the results of those articles in ..."
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Cited by 1 (0 self)
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Nearly twenty years ago Isaacs and the first author of this paper wrote a series of articles [4], [2], [3] about what were called “stabilizer limits ” of group characters, following the terminology of Berger [1]. The second author, in her thesis [5], needed one of the results of those articles
IRREDUCIBLE CHARACTER DEGREES AND NORMAL SUBGROUPS
, 1997
"... Let G be a finite group and, as usual, write cd(G) to denote the set of degrees of the irreducible characters of G. This set of positive integers encodes a great deal of information about the structure of G, and we mention just a few of the many known results of this type. If G is nilpotent (or more ..."
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Cited by 7 (1 self)
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Let G be a finite group and, as usual, write cd(G) to denote the set of degrees of the irreducible characters of G. This set of positive integers encodes a great deal of information about the structure of G, and we mention just a few of the many known results of this type. If G is nilpotent (or
On the Degrees of the Nonfaithful Irreducible Characters in Finite Groups
, 2011
"... Abstract: In this paper, we consider the degrees of the nonfaithful irreducible characters of finite groups. We classify finite groups in which nonfaithful nonlinear irreducible characters admit distinct degrees. Also we study finite groups whose nonfaithful nonlinear irreducible characters are ..."
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Abstract: In this paper, we consider the degrees of the nonfaithful irreducible characters of finite groups. We classify finite groups in which nonfaithful nonlinear irreducible characters admit distinct degrees. Also we study finite groups whose nonfaithful nonlinear irreducible characters
Irreducible characters of general linear superalgebra and super duality
, 2009
"... We develop a new method to solve the irreducible character problem for a wide class of modules over the general linear superalgebra, including all the finitedimensional modules, by directly relating the problem to the classical KazhdanLusztig theory. We further verify a parabolic version of a conj ..."
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Cited by 20 (6 self)
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We develop a new method to solve the irreducible character problem for a wide class of modules over the general linear superalgebra, including all the finitedimensional modules, by directly relating the problem to the classical KazhdanLusztig theory. We further verify a parabolic version of a
PRIME DIVISORS OF IRREDUCIBLE CHARACTER DEGREES
"... Abstract. Let G be a finite group. We denote by ρ(G) the set of primes which divide some character degrees of G and by σ(G) the largest number of distinct primes which divide a single character degree of G. We show that ρ(G)  ≤ 2σ(G)+1 when G is an almost simple group. For arbitrary finite groups ..."
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Abstract. Let G be a finite group. We denote by ρ(G) the set of primes which divide some character degrees of G and by σ(G) the largest number of distinct primes which divide a single character degree of G. We show that ρ(G)  ≤ 2σ(G)+1 when G is an almost simple group. For arbitrary finite
IRREDUCIBLE CHARACTERS OF FINITE ALGEBRA GROUPS
, 1998
"... Let p be a prime number, let q = p e (e ≥ 1) be a power of p and let Fq denote the finite field with q elements. Let A be a finite dimensional Fqalgebra. (Throughout the paper, all algebras are supposed to have an identity element). Let J = J(A) be the Jacobson radical of A and let ..."
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Let p be a prime number, let q = p e (e ≥ 1) be a power of p and let Fq denote the finite field with q elements. Let A be a finite dimensional Fqalgebra. (Throughout the paper, all algebras are supposed to have an identity element). Let J = J(A) be the Jacobson radical of A and let
Results 1  10
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898