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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.4 Antofagasta dic. 2019

http://dx.doi.org/10.22199/issn.0717-6279-2019-04-0054 

Articles

On asymptotic commutativity degree of finite groups

1Tezpur University, Dept of Mathematical Sciences, Sonitpur, AS, India.e-mail: rajatkantinath@yahoo.com

Abstract

The aim of this paper is to give a detailed account of a problema posed by P. Lescot regarding asymptotic commutativity degree of finite groups.

Keywords: Finite groups; Commutativity degree

Texto completo disponible sólo en PDF.

Full text available only in PDF format.

Acknowledgements

This paper is a part of the author’s Ph. D. thesis. The author would like to thank Prof. A. K. Das for his supervision. The author is also thankful to the referee for his/her valuable comments and suggestions which improve the quality of this article.

References

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[4] I. Erovenko and B. Sury, “Commutativity degree of wreath products of finite abelian groups”, Bulletin of the australian mathematical society, vol. 77, no. 1, pp. 31-36, Feb. 2008, doi: 10.1017/S0004972708000038 [ Links ]

[5] W. Gustafson, “What is the probability that two group elements commute?”, The American mathematical monthly, vol. 80, no. 9, pp. 1031-1034, Nov. 1973, doi: 10.2307/2318778. [ Links ]

[6] P. Lescot, “Isoclinism classes and commutativity degrees of finite groups”, Journal of algebra, vol. 177, no. 3, pp. 847-869, Nov. 1995, doi: 10.1006/jabr.1995.1331. [ Links ]

[7] P. Lescot, “Central extensions and commutativity degree”, Communication in algebra, vol. 29, no. 10, pp. 4451-4460, Mar. 2001, doi: 10.1081/AGB-100106768 [ Links ]

[8] R. Nath, “Commutativity degree, its generalizations, and classification of finite groups”, Ph. D. thesis, North-Eastern Hill University, 2010. [ Links ]

[9] R. Nath, “Computing the commutativity degree of a class of finite groups and consequences”, Bulletin of the australian mathematical society , vol. 88, no. 3, pp. 448-452, Dec. 2013, doi: 10.1017/S0004972712001086. [ Links ]

[10] D. Rusin, “What is the probability that two elements of a finite group commute?”, Pacific journal of mathematics, vol. 82, no. 1, pp. 237-247, May 1979, doi: 10.2140/pjm.1979.82.237 [ Links ]

Recibido: Agosto de 2018; Aprobado: Octubre de 2018

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