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Construction of the faithful irreducible representation for the subgroupGcontained inS7

✍ Scribed by Gerald Rosen

Publisher
Springer
Year
1977
Tongue
English
Weight
244 KB
Volume
16
Category
Article
ISSN
0020-7748

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πŸ“œ SIMILAR VOLUMES

A theory for the construction of the irr
A theory for the construction of the irreducible representations of finite groups
✍ Esko Blokker πŸ“‚ Article πŸ“… 1972 πŸ› John Wiley and Sons 🌐 English βš– 361 KB

## Abstract It is shown how the irreducible representations of a finite group can be calculated from the irreducible characters (the latter can be calculated exactly by using Dixon's method). All elements of the matrix, representing a group element, lie in the rational field of polynomials of ΞΎ = e

A theory for the construction of the irr
A theory for the construction of the irreducible representations of finite groups. II
✍ Esko Blokker πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 363 KB

## Abstract The restriction on a method for computing irreducible representations of finite groups, requiring that in the irreducible representation to be constructed, at least one group element has at least one nondegenerate eigenvalue, is removed. The method is thus shown to be applicable to an a

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Constructing a Representation of the Group (2, 3, 7; 11)
✍ D.F. HOLT; W. PLESKEN; B. SOUVIGNIER πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 287 KB

We construct a representation of the finitely presented group G := x, y | x 2 , y 3 , (xy) 7 , [x, y] 11 . This is done by lifting a representation over a finite field to a sufficently large quotient of local field and by finding minimal polynomials for the entries of this representation. We finally