论文信息 - Computing with Endomorphism Rings of Modular Representations

Computing with Endomorphism Rings of Modular Representations

This paper presents several new algorithms for computing properties of modular group representations including indecomposability, vertices and sources. These methods are all implemented as part of the CAYLEY system. New results obtained using these methods are presented.

Gerhard J. A. Schneider

[1] S. A. Jennings,et al. The structure of the group ring of a $p$-group over a modular field , 1941 .

[2] Gerhard J. A. Schneider. Psl(3,4) In characteristic 3 , 1987 .

[3] Walter Feit,et al. The representation theory of finite groups , 1982, North-Holland mathematical library.

[4] Gerhard Hiss,et al. The brauer characters of the hall-janko group , 1988 .

[5] Gordon James,et al. The modular characters of the Mathieu groups , 1973 .

[6] J. Green. On the indecomposable representations of a finite group , 1958 .

[7] B. Huppert,et al. Finite Groups II , 1982 .

[8] P. Landrock,et al. Finite group algebras and their modules , 1983 .