On division subrings normalized by almost subnormal subgroups in division rings · arXivDesk1801.01271Jan 4, 201813 pages
On division subrings normalized by almost subnormal subgroups in division rings
Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai
Abstract
Let D be a division ring with infinite center, K a proper division subring of D and N an almost subnormal subgroup of the multiplicative group D∗ of D
. The aim of this paper is to show that if
is
-invariant and
is non-central, then
is central. Some examples of almost subnormal subgroups in division rings that are not subnormal are also given.