THE SCHUR MULTIPLIER OF PAIRS OF NONABELIAN GROUPS OF ORDER P4

Authors

  • Adnin Afifi Nawi Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia
  • Nor Muhainiah Mohd Ali Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia
  • Nor Haniza Sarmin Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia
  • Samad Rashid Department of Mathematics, Faculty of Science, Islamic Azad University, Firoozkooh Branch, Tehran, Iran

DOI:

https://doi.org/10.11113/jt.v78.7810

Keywords:

Schur multiplier, pair of groups, normal subgroup, nonabelian group

Abstract

Let (G,N)  be a pair of groups where G is any group and N is a normal subgroup of G, then the Schur multiplier of pairs of groups is a functorial abelian group. The notion of the Schur multiplier of pairs of groups is an extension from the Schur multiplier of a group G. In this research, the Schur multiplier of pairs of finite nonabelian groups of order p4, where p is an odd prime, is determined.  

References

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Published

2016-03-09

Issue

Vol. 78 No. 3-2: Steering Innovation, Serving Society in Achieving Global Excellence Towards Science and Technology Vol. 2

Section

Science and Engineering

License

Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.

How to Cite

THE SCHUR MULTIPLIER OF PAIRS OF NONABELIAN GROUPS OF ORDER P4. (2016). Jurnal Teknologi, 78(3-2). https://doi.org/10.11113/jt.v78.7810