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Paper IPM / M / 8563  


Abstract:  
Suppose that D is a division ring with center F and N is a
noncentral normal subgroup of GL_{n}(D). In this paper we
generalize some known results about maximal subgroups of GL_{n}(D)
to maximal subgroups of N. More precisely we prove that if M
is a maximal subgroup of N such that F[M] satisfies a
polynomial identity and CM_{n}(D)(M)\F contains an
algebraic element over F or CM_{n}(D)(M) = F and either n ≥ 2 or n = 1 and M is not abelian, then [D: F] < ∞.
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