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The maximal subgroups of G2(4)

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


Maximal subgroups of G2(2n)
โœ Bruce N Cooperstein ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 687 KB
Maximal Integral Forms of the Algebraic
โœ Arjeh M. Cohen; Gabriele Nebe; Wilhelm Plesken ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 454 KB

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.

Free Subgroups in Maximal Subgroups of G
โœ M Mahdavi-Hezavehi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

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