2แ22 the number of simple kS -modules equals the number of weights for S , n n where S is the symmetric group on n symbols and k is a field of characteristic n p ) 0. In this paper we answer the question, ''When is the Brauer quotient of a simple F S -module V with respect to a subgroup H of S both
On Some Simple Constituents of the Specht Modules of the Symmetric Groups
โ Scribed by Yukio Tsushima
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 114 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A finite basis problem in Specht modules is considered. Some criteria are proved for a submodule to be generated by a submodule of the Specht module with fewer columns. Also a positive solution is obtained for two-row diagrams.
Suppose that โ is an infinite set and k is a natural number. Let โ denote the set of all k-subsets of โ and let F be a field. In this paper we study the ลฝ . w x k FSym โ -submodule structure of the permutation module F โ . Using the representation theory of finite symmetric groups, we show that ever
Definition 1.1. A finitely generated group A is said to admit C(p s ) if the following conditions hold for any positive integer q such that 551