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On NTH commutativity degree of some 3-engel groups

Yahya, Z. and Mohd. Ali, N. M. and Sarmin, N. H. and Sabani, M. S. and Zakaria, M. (2013) On NTH commutativity degree of some 3-engel groups. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B.

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Official URL: http://dx.doi.org/10.1063/1.4801240

Abstract

This paper focuses on some 3-Engel groups. Suppose x and y are elements of a group G. The commutativity degree of a group is the probability that two elements in the group commute and is denoted by P(G). Meanwhile, the nth commutativity degree of a group G is the probability that for any pairs of x and y in G, xn and y commute. In this paper, the nth commutativity degree of some 3-Engel groups is determined.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:engel gropus
Subjects:Q Science
Divisions:Science
ID Code:51213
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:18 Sep 2017 08:13

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