Extended cut groups
Abstract
Abstract A finite group đş is said to be a cut group if all c entral u nits in the integral group ring Z ⢠G \mathbb{Z}G are t rivial. In this article, we extend the notion of cut groups, by introducing extended cut groups. We study the properties of extended cut groups analogous to those known for cut groups and also characterize some substantial classes of groups having the property of being extended cut. A complete classification of extended cut metacyclic groups is presented.
Fields of Study & Subjects
Chronic Myeloid Leukemia Treatments
Geometric and Algebraic Topology
Parkinson's Disease and Spinal Disorders
Publication details
- Journal / source
- Journal of Group Theory
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 10 July 2026
- Language
- EN