ABSTRACT
Let D be a noncommutative finite dimensional F-central division algebra and M a noncommutative maximal subgroup of GLn(D). It is shown that either M contains a noncyclic free subgroup or M is absolutely irreducible and there exists a unique maximal subfield K of Mn(D) such that K*M, K∕F is Galois with Gal(K∕F)≅M∕K* and Gal(K∕F) is a finite simple group.
MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors wish to thank the referee for useful comments. The first author thanks the Research Council of the University of Garmsar and the second author thanks the Sharif University of Technology for support.