A generalization on the nth commutativity degree of alternating groups of degree 4 and 5
The theory of commutativity degree is important in determining the abelianness of a group. The commutativity degree of a finite group G is the probability that a pair of elements chosen randomly from a group G, commute. The concept of commutativity degree can be generalized to the nth commutativity...
| Published in: | Jurnal Teknologi |
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| Language: | English |
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Penerbit UTM Press
2016
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962574387&doi=10.11113%2fjt.v78.7813&partnerID=40&md5=4815c5f13c4e9c0421ce90c42834e966 |
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2-s2.0-84962574387 Rhani N.A.; Ali N.M.M.; Sarmin N.H. A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 2016 Jurnal Teknologi 78 2-Mar 10.11113/jt.v78.7813 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962574387&doi=10.11113%2fjt.v78.7813&partnerID=40&md5=4815c5f13c4e9c0421ce90c42834e966 The theory of commutativity degree is important in determining the abelianness of a group. The commutativity degree of a finite group G is the probability that a pair of elements chosen randomly from a group G, commute. The concept of commutativity degree can be generalized to the nth commutativity degree of a group which is defined as the probability of commuting the nth power of a randomly chosen element with another random element from the same group. In this research, the nth commutativity degree of alternating groups of degree 4 and 5 are presented. © 2016 Penerbit UTM Press. All rights reserved. Penerbit UTM Press 01279696 English Article |
| author |
Rhani N.A.; Ali N.M.M.; Sarmin N.H. |
| spellingShingle |
Rhani N.A.; Ali N.M.M.; Sarmin N.H. A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| author_facet |
Rhani N.A.; Ali N.M.M.; Sarmin N.H. |
| author_sort |
Rhani N.A.; Ali N.M.M.; Sarmin N.H. |
| title |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| title_short |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| title_full |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| title_fullStr |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| title_full_unstemmed |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| title_sort |
A generalization on the nth commutativity degree of alternating groups of degree 4 and 5 |
| publishDate |
2016 |
| container_title |
Jurnal Teknologi |
| container_volume |
78 |
| container_issue |
2-Mar |
| doi_str_mv |
10.11113/jt.v78.7813 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84962574387&doi=10.11113%2fjt.v78.7813&partnerID=40&md5=4815c5f13c4e9c0421ce90c42834e966 |
| description |
The theory of commutativity degree is important in determining the abelianness of a group. The commutativity degree of a finite group G is the probability that a pair of elements chosen randomly from a group G, commute. The concept of commutativity degree can be generalized to the nth commutativity degree of a group which is defined as the probability of commuting the nth power of a randomly chosen element with another random element from the same group. In this research, the nth commutativity degree of alternating groups of degree 4 and 5 are presented. © 2016 Penerbit UTM Press. All rights reserved. |
| publisher |
Penerbit UTM Press |
| issn |
01279696 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1820775476085391360 |