On nth commutativity degree of some 3-Engel groups
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 n th commutativity degree of a group G is the probability that for any pairs of x...
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| Pengarang-pengarang Utama: | , , , , |
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| Format: | Conference or Workshop Item |
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2012
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| Subjek-subjek: | |
| Capaian Atas Talian: | http://eprints.utm.my/43687/ http://eprints.utm.my/43687/ |
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| Ringkasan: | 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 n th 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 n th commutativity degree of some 3-Engel groups is determined |
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