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Communications in Algebra Volume 47, 2019 - Issue 10
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Original Articles

A note on the commutativity of groups

Charef BeddaniDepartment of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia; Correspondence[email protected]
&
Suad AlrehailiDepartment of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia; ;Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia
Pages 4167-4172 | Received 10 Jan 2019, Accepted 22 Jan 2019, Published online: 14 Mar 2019

References

  • Das, A. K., Nath, R. K. (2012). A generalization of commutativity degree of finite groups. Commun. Algebra 40(6):1974–1981. DOI: 10.1080/00927872.2011.568993.
  • Eberhard, S. (2015). Commuting probabilities of finite groups. Bull. Lond. Math. Soc. 47(5):796–808. DOI: 10.1112/blms/bdv050.
  • Ernest, J. (1961). Central intertwining numbers for representations of finite groups. Trans. Am. Math. Soc. 99(3):499–508. DOI: 10.1090/S0002-9947-1961-0125162-5.
  • Gallagher, P. X. (1970). The number of conjugacy classes in a finite group. Math. Z 118(3):175–179. DOI: 10.1007/BF01113339.
  • Gustafson, W. H. (1973). What is the probability that two group elements commute? Am. Math. Mon. 80(9):1031–1034. DOI: 10.2307/2318778.
  • Lescot, P. (1989). Degré de commutativité et structure d’un groupe fini(2). RMS 4:200–202.
  • Lescot, P. (1995). Isoclinism classes and commutativity degrees of finite groups. J. Algebra 177(3):847–869. DOI: 10.1006/jabr.1995.1331.
  • MacHale, D. (1974). How commutative can a non-commutative group be? Math. Gazette 58(405):199–202. DOI: 10.2307/3615961.
  • Rotman, J. J. (1995). An Introduction to the Theory of Groups, Vol. 148, 4th ed. New York, NY: Springer.

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