The probability that an element of a metacylic 3-group fixes a set of size three
Let G be a metacylic 3-group of negative type of nilpotency class at least three. In this paper, Ω is a set of all subsets of all commuting elements of G of size three in the form of (a,b), where a and b commute. The probability that an element of a group G fixes a set Ω is one of extensions of the...
Saved in:
| Main Authors: | , , |
|---|---|
| 格式: | Conference or Workshop Item |
| 出版: |
American Institute of Physics Inc.
2016
|
| 主題: | |
| 在線閱讀: | http://eprints.utm.my/id/eprint/73426/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578376&doi=10.1063%2f1.4940828&partnerID=40&md5=37f57b7803a988761f220f2bedf156ba |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 機構: | Universiti Teknologi Malaysia |
| 總結: | Let G be a metacylic 3-group of negative type of nilpotency class at least three. In this paper, Ω is a set of all subsets of all commuting elements of G of size three in the form of (a,b), where a and b commute. The probability that an element of a group G fixes a set Ω is one of extensions of the commutativity degree that can be obtained under group action on set. This probability is the ratio of the number of orbits to the order of Ω. In this paper, the probability that an element of a group G fixes a set Ω is computed by using conjugate action. |
|---|