Subgroups Isomorphic toG2(L) in Orthogonal Groups
β Scribed by Anja Steinbach
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 189 KB
- Volume
- 205
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
ALE Ε DR ΓPAL β Let G(β’) and G( \* ) be two groups of the finite order n, and let d be the size of the set {(a, b) β G Γ G; a β’ b = a \* b}. Let P and Q be Sylow 2-subgroups of G(β’) and G( \* ), respectively. If d is less than n 2 /4, then there exists an isomorphism Ο : P Q, and the normalizers of
We show that if P is a Sylow 2-subgroup of the finite symplectic group m Ε½ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mΕ½ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mΕ½ my1.r2 is the largest possible degree of a