Multiplicative degree of some dihedral groups
Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as the probability that a pair of elements x and y, chosen randomly from a group G, commute. The concept of commutativity degree has been extended to the relative commutativity degree of a subgroup H, w...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Published: |
American Institute of Physics Inc.
2016
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/73222/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984567391&doi=10.1063%2f1.4954591&partnerID=40&md5=dd54350c1fe1a3cfdf1c1fae66346b1f |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as the probability that a pair of elements x and y, chosen randomly from a group G, commute. The concept of commutativity degree has been extended to the relative commutativity degree of a subgroup H, which is defined as the probability that a random element of a subgroup, H commutes with another random element of a group G. This research extends the concept of relative commutativity degree to the multiplicative degree of a group G, which is defined as the probability that the product of a pair of elements x, y chosen randomly from a group G, is in H. This research focuses on some dihedral groups. |
|---|