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SUBGROUP PERMUTABILITY DEGREE OF PSL(2,pn)

Published online by Cambridge University Press:  26 February 2013

F. SAEEDI
Affiliation:
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran e-mail: [email protected]
M. FARROKHI D. G.
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran e-mail: [email protected]
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Abstract

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We will compute the subgroup permutability degree of the projective special linear groups PSL(2,pn).

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

REFERENCES

1.Blaum, M., Factorizations of the simple groups PSL 3(q) and PSU 3(q 2), Arch. Math. 40 (1983), 813.CrossRefGoogle Scholar
2.Dickson, L. E., Linear groups with an exposition of the galois field theory (Dover Publications, New York, 1958).Google Scholar
3.Farrokhi D. G., M., Factorization numbers of finite abelian groups, Internat. J. Group Theory 2 (2) (2013), 18.Google Scholar
4.Gentchev, T. R., Factorizations of the sporadic simple groups, Arch. Math. 47 (1986), 97102.Google Scholar
5.Gentchev, T. R., Factorizations of the groups of Lie type of Lie rank 1 or 2, Arch. Math. 47 (1986), 493499.Google Scholar
6.Gustafson, W. H., What is the probability that two group elements commute? Amer. Math. Monthly 80 (1973), 10311304.CrossRefGoogle Scholar
7.Huppert, B., Endliche Gruppen I (Springer-Verlag, Berlin, Heidelberg, 1967).Google Scholar
8.Ito, N., On the factorizations of the linear fractional group LF(2,pn), Acta Sci. Math. (Szeged, Hungary) 15 (1953), 7984.Google Scholar
9.Saeedi, F. and Farrokhi D. G., M., Factorization numbers of some finite groups, Glasgow Math. J. 54 (2012), 345354.CrossRefGoogle Scholar
10.Tărnăuceanu, M., Subgroup commutativity degrees of finite groups, J. Algebra 321 (9) (2009), 25082520.Google Scholar
11.Tărnăuceanu, M., Addendum to “Subgroup commutativity degrees of finite groups'' [J. Algebra 321 (9) (2009), 2508–2520], J. Algebra, 337 (9) (2011), 363368.CrossRefGoogle Scholar
12.Tchakerian, K. B. and Gentchev, T. R., Factorizations of the groups G 2(q), Arch. Math. 44 (1985), 230232.CrossRefGoogle Scholar