We give a new constructive computer-free existence proof of the third group of Ε½ . Janko, J , using the 9-dimensional unitary representation of 3 J over GF 4 . 3 3 Thereby we embed the C .c-geometries for 3 J and J into the 9-dimensional 2 3 3 unitary space and the 9-dimensional projective space, re
A Computer-Free Construction of J4
β Scribed by A.A Ivanov; U Meierfrankenfeld
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 478 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Define a finite simple group J to be of J -type or simply J provided that J 4 4 contains an involution z with C z ; 2 1q 12 3 Aut Mat .
Ε½ .
J q 22
The purpose of this paper is to give the first computer-free construction of a group of J type. In addition, we achieve yet another uniqueness proof for groups of J 4 4 type via the simple connectedness of the 2-local geometry of such a group.
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