In 3 Dade made a conjecture expressing the number k B, d of characters of a given defect d in a given p-block B of a finite group G in terms of the Ε½ . corresponding numbers k b, d for blocks b of certain p-local subgroups of G. w x Several different forms of this conjecture are given in 5 . Dade c
A geometric construction of Janko's groupJ3
β Scribed by Richard Weiss
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- French
- Weight
- 324 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0025-5874
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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
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