Periodicity of Weyl modules for SL(2, q)
β Scribed by J Alperin; L.G Kovacs
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 156 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The submodule structure of Weyl modules for SL has been determined 3 w x Ε½ . w x in DS, I, K and by Cline unpublished . The main technique used in DS is an analysis of the intertwining homomorphisms between certain Weyl w x modules. The approach in I, K is essentially a direct calculation. Also, Jan
In 1955, Hall and Paige conjectured that any "nite group with a noncyclic Sylow 2-subgroup admits complete mappings. For the groups GΒΈ(2, q), SΒΈ(2, q), PSΒΈ(2, q), and PGΒΈ(2, q) this conjecture has been proved except for SΒΈ(2, q), q odd. We prove that SΒΈ(2, q), q,1 modulo 4 admits complete mappings.