Uncountable groups whose large subnormal subgroups are close to normal
Abstract
Let G be a group. A subgroup X of G is said to be nearly normal if it has finite index in its normal closure XG, and X is called normal-by-finite if it is finite over its core XG. In this paper, we investigate the behavior of uncountable periodic soluble groups G of regular cardinality ℵ in which the section HG/HG is finite (of bounded order) for all subnormal subgroups H of G having cardinality ℵ.
Fields of Study & Subjects
Finite Group Theory Research
Rings
Modules
and Algebras
Geometric and Algebraic Topology
Publication details
- Journal / source
- Communications in Algebra
- Publisher
- Informa UK Limited
- Pages
- 1–9
- Publication date
- 4 May 2026
- Language
- EN