The maximal subgroups of G2(4)
โ Scribed by N.T Petrov; K.B Tchakerian
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 875 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We coin the notation maximal integral form of an algebraic group generalizing Gross' notion of a model. We extend the mass formula given by Gross to our context. For the finite Lie primitive subgroups of G 2 there are unique maximal integral forms defined by them.
Let D be a division algebra of finite dimension over its center F. Given a ลฝ . noncommutative maximal subgroup M of D\* [ GL D , it is proved that either 1 M contains a noncyclic free subgroup or there exists a maximal subfield K of D ลฝ . which is Galois over F such that K \* is normal in M and MrK