Some Amalgams in Characteristic 3 Related toCo1
โ Scribed by Panagiotis Papadopoulos
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 456 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Co has parabolic subgroups of the shape 3 2 M and 3 Sp 3 ะธ 2. Lyons' 1 1 2 4 5 ลฝ .
2 q 4 simple group Ly has parabolics of the form 3 M = 2 and 3 A D . We will 11 5 8 characterize these parabolics and similar ones found in subgroups of Co using the 1 amalgam method. แฎ 1997 Academic Press 1 6 1 q 4
ลฝ . ลฝ Co has parabolic subgroups of the shape 3 2 M and 3 Sp 3 ะธ 2 we 1 1 2 4
. will explain this notation later . 30
๐ SIMILAR VOLUMES
A family of flocks is presented in characteristic 3. From the standard theory, there are associated generalised quadrangles, translation planes, and BLT-sets, leading to further flocks.
Given a nontrivial torsion-free abelian group (A, +, 0), a field F of characteristic 0, and a nondegenerate bi-additive skew-symmetric map cp : A x A -+ F, we study the Lie algebra \_Y(A, cp) over F with basis {ex: x E A\(O)} an multiplication [ex,ey] = cp(x, y)e,+,. We show that d Y(A, 'p) is simpl