“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 8563 |
|
| Abstract: | |
|
Suppose that D is a division ring with center F and N is a
non-central normal subgroup of GLn(D). In this paper we
generalize some known results about maximal subgroups of GLn(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 CMn(D)(M)\F contains an
algebraic element over F or CMn(D)(M) = F and either n ≥ 2 or n = 1 and M is not abelian, then [D: F] < ∞.
Download TeX format |
|
| back to top | |
