On a theorem of burnside
نویسندگان
چکیده
منابع مشابه
Burnside-Brauer Theorem for Table Algebras
In the character theory of finite groups the Burnside-Brauer Theorem is a wellknown result which deals with products of characters in finite groups. In this paper, we first define the character products for table algebras and then by observing the relationship between the characters of a table algebra and the characters of its quotient, we provide a condition in which the products of characters...
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The famous Burnside–Schur theorem states that every primitive finite permutation group containing a regular cyclic subgroup is either 2-transitive or isomorphic to a subgroup of a 1-dimensional affine group of prime degree. It is known that this theorem can be expressed as a statement on Schur rings over a finite cyclic group. Generalizing the latter, Schur rings are introduced over a finite co...
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Let A be an associative algebra over a field k, and let M be a finite family of right A-modules. Study of the noncommutative deformation functor DefM : ar → Sets of the family M leads to the construction of the algebra O(M) of observables and the Generalized Burnside Theorem, due to Laudal [2]. In this paper, we give an overview of aspects of noncommutative deformations closely connected to the...
متن کاملBurnside-Brauer Theorem and Character Products in Table Algebras
In this paper, we first show that the irreducible characters of a quotient table algebra modulo a normal closed subset can be viewed as the irreducible characters of the table algebra itself. Furthermore, we define the character products for table algebras and give a condition in which the products of two characters are characters. Thereafter, as a main result we state and prove the Burnside-Br...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1967
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054555