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The NTH commutativity degree of some 2-engel groups

Yahya, Z. and Mohd. Ali, N. M. and Sarmin, N. H. and Johari, N. A. (2013) The NTH commutativity degree of some 2-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/10.1063/1.4801225

Abstract

Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y) for which xn and y commute divided by the total number of (x, y) which is possible. In this research, all 2-Engel groups of order at most 25 are first determined. Then, the nth commutativity degree of those groups are computed.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:engel gropus
Subjects:Q Science
Divisions:Science
ID Code:51363
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:18 Sep 2017 09:43

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