A note on a module in tensor space for the symplectic group
โ Scribed by B.W. Wetherilt
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 372 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let S be a finite subset of a group G, |S| = n, and let g โ S โข S. Then g induces a partial function ฮป g : S โ S by ฮป g (s) = t if and only if st = g and ฮป g (s) is not defined if g โ sS. For every g โ S โข S, ฮป g is a one-to-one mapping. In this note we describe the groups which have a finite genera
We show that if P is a Sylow 2-subgroup of the finite symplectic group m ลฝ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mลฝ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mลฝ my1.r2 is the largest possible degree of a