We determine the Green vertices and sources of many of the simple modular representations of the finite symmetric group being parametrized by hook partitions.
Mathematics Subject Classification (2000). 20C30, 20C20.
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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.