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Generating Finite Groups with Maximal Subgroups of Maximal Subgroups

✍ Scribed by P. Flavell


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
475 KB
Volume
177
Category
Article
ISSN
0021-8693

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Let D be a division algebra of finite dimension over its center F. Given a Ε½ . 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 Ε½ . which is Galois over F such that K \* is normal in M and MrK