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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| Main Author: | |
| Format: | Article |
| 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 |
| Summary: | 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. |
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| ISSN: | 01279696 |
| DOI: | 10.11113/jt.v78.7813 |