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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 459135, 4 pages
http://dx.doi.org/10.1155/2014/459135
Research Article

The Schur Multiplier of Pairs of Groups of Order

1Department of Mathematics, Faculty of Science, Islamic Azad University, Firoozkooh Branch, Tehran 3319118651, Iran
2Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia (UTM), 81310 Johor Bahru, Johor, Malaysia

Received 3 September 2014; Revised 5 November 2014; Accepted 5 November 2014; Published 25 November 2014

Academic Editor: Kishin Sadarangani

Copyright © 2014 S. Rashid et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. Schur, “Über die Darstellung der endlichen gruppen durch gebrochen lineare substitutionen,” Journal für die Reine und Angewandte Mathematik, vol. 1904, no. 127, pp. 20–50, 1904, 1904. View at Publisher · View at Google Scholar
  2. G. Karpilovsky, The Schur Multiplier, Clarendon Press, Oxford, UK, 1987. View at MathSciNet
  3. G. Ellis, “The Schur multiplier of a pair of groups,” Applied Categorical Structures, vol. 6, no. 3, pp. 355–371, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. R. Brown and J.-L. Loday, “Van Kampen theorems for diagrams of spaces,” Topology, vol. 26, no. 3, pp. 311–335, 1987. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. M. Visscher, On the nonabelian tensor products of groups [Ph.D. dissertation], State University of New York at Binghamton, 1998.
  6. S. H. Jafari, P. Niroomand, and A. Erfanian, “The nonabelian tensor square and Schur multiplier of groups of order p2q, pq2 and p2qr,” Algebra Colloquium, vol. 10, pp. 1083–1088, 2012. View at Google Scholar
  7. M. R. R. Moghaddam, A. R. Salemkar, and K. Chiti, “Some properties on the Schur multiplier of a pair of groups,” Journal of Algebra, vol. 312, no. 1, pp. 1–8, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. S. Rashid, N. H. Sarmin, A. Erfanian, and N. M. Mohd Ali, “On the commutator subgroups of groups of order 8q,” Journal of Computer Science & Computational Mathematics, vol. 2, no. 2, pp. 5–7, 2012. View at Google Scholar
  9. S. Rashid, N. H. Sarmin, A. Erfanian, and N. M. Ali, “On the nonabelian tensor square and capability of groups of order p2q,” Archiv der Mathematik, vol. 97, no. 4, pp. 299–306, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. S. Rashid, N. H. Sarmin, A. Erfanian, N. M. Ali, and R. Zainal, “On the nonabelian tensor square and capability of groups of order 8q,” Indagationes Mathematicae: New Series, vol. 24, no. 3, pp. 581–588, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. M. Quick, MT5824 Topics in Groups Lecture Notes, University of St. Andrews, 2004–2009.
  12. M. Hall, The Theory of Groups, Macmillan, New York, NY, USA, 1959.