On the number of Sylow subgroups in a finite group
โ Scribed by Marshall Hall Jr.
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 448 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i
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