Article ID Journal Published Year Pages File Type
4587526 Journal of Algebra 2008 28 Pages PDF
Abstract

We present some algorithmic methods for the computation of vertices of indecomposable and simple modules over group algebras in prime characteristic. Furthermore, we apply these to the simple modules of the symmetric groups and determine the vertices of all simple modules of the symmetric groups of degree at most 14 and 15 in characteristic 2 and 3, respectively, with one exception.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory