On some graphs of finite metabelian groups of order less than 24
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class graph. Conjugacy class graph of a group is that graph associated with the conjugacy classes of the group. Its vertices are the non-central conjugacy classes of the group, and two distinct vertices are j...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2019
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/89017/1/NorHanizaSarmin2019_OnSomeGraphsofFiniteMetabelianGroups.pdf http://eprints.utm.my/id/eprint/89017/ http://dx.doi.org/10.11113/matematika.v35.n2.1054 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this work, a non-abelian metabelian group is represented by G while represents conjugacy class graph. Conjugacy class graph of a group is that graph associated with the conjugacy classes of the group. Its vertices are the non-central conjugacy classes of the group, and two distinct vertices are joined by an edge if their cardinalities are not coprime. A group is referred to as metabelian if there exits an abelian normal subgroup in which the factor group is also abelian. It has been proven earlier that 25 non-abelian metabelian groups which have order less than 24, which are considered in this work, exist. In this article, the conjugacy class graphs of non-abelian metabelian groups of order less than 24 are determined as well as examples of some finite groups associated to other graphs are given. |
|---|