Shunkov Groups with Additional Finiteness Conditions, Containing Dihedral Subgroups
Abstract
In this paper, Shunkov groups are studied in the context of the well-known question of B. Amberg and L. S. Kazarin about the structure of groups containing direct products of a finite number of dihedral groups. To do this, two additional finiteness conditions are imposed on the Shunkov group: it is required that the Shunkov group be periodic and also be saturated with direct products of a finite number of finite dihedral groups.
Fields of Study & Subjects
Finite Group Theory Research
Rings
Modules
and Algebras
Advanced Topology and Set Theory
Publication details
- Journal / source
- The Bulletin of Irkutsk State University Series Mathematics
- Volume
- 55
- Pages
- 134–143
- Publication date
- 1 January 2026
- Language
- EN