The centre of a metacyclic group (Q1082437)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The centre of a metacyclic group |
scientific article; zbMATH DE number 3973143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The centre of a metacyclic group |
scientific article; zbMATH DE number 3973143 |
Statements
The centre of a metacyclic group (English)
0 references
1986
0 references
The author presents a very clearly presented exposition of the necessary and sufficient conditions that identify when an element of the form \(y^ ax^ by^ c\) is in the center of a metacyclic group \(G=<x,y>\) in terms of the defining relations. As a corollary for a particular case in which Z(G) is cyclic, the generator is identified.
0 references
center
0 references
metacyclic group
0 references
relations
0 references