Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497214 | Journal of Pure and Applied Algebra | 2005 | 8 Pages |
Abstract
Let G be a group in which every subgroup that is not self-normalizing is subnormal. It is shown that if G is locally finite then either G has a nilpotent subgroup of prime index or every subgroup of G is subnormal, while if G is not periodic then every subgroup of G is subnormal. If G is a periodic group with the given property then G need not be locally finite, but if G is also locally graded then it is locally finite.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Leonid A. Kurdachenko, Howard Smith,