Groups, Algorithms and Programming (GAP) and the Nonabelian Tensor Square of Groups of Order 8q

Authors

  • S Rashid
  • . .

DOI:

https://doi.org/10.14419/ijet.v7i4.1.19482

Published:

2018-09-12

Keywords:

Groups of order 8q, commutator subgroup, the Schur Multiplicator, nonabelian tensor square, GAP

Abstract

In this paper, the software package Groups, Algorithms and Programming (GAP)   is used to verify the hand calculation of  the nonabelian tensor square for groups of order 8q, where q is an odd prime.

 

References

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[2] Brown R, Johnson DL, Robertson EF, â€Some computations of nonabelian tensor products of groupsâ€, J. Algebra, Vol. 111 (1987), pp.177–202.

[3] Hannebauer T,†On nonabelian tensor square of linear groupsâ€, Arch. Math., Vol. (1990), No. 55, pp. 30–34.

[4] Rashid S, Sarmin NH, Erfanian A and Mohd Ali NM, †On the Nonabelian Tensor Square and Capability of Groups of Order p2qâ€, Arch. Math., Vol.97, No.4, (2011), pp.297-306.

[5] Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM, †A note on the nonabelian tensor Squareâ€, Indian Journal of Science and Technology, Vol.5, No.6 ( 2012), pp.2877–9.

[6] Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM, †On the nonabelian tensor square and capability of groups of order 8qâ€, Indagationes Mathematicae, Vol.24 (2013), pp.581–8.

[7] Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM,†On the nonabelian tensor square of groups of order p4â€, Science Asia, Vol. 39S (2013), pp.16–8.

[8] Rashid S, Nawi AA, Zainal R, Mohd Ali NM, Sarmin NH,†The use of Groups, Algorithms and Programming (GAP) software in calculating the commutator subgroup and center of groups of order p3qâ€, Science Asia, Vol. 40S (2014), pp.73–7.

[9] Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM,†The schur multiplier of pairs of groups of order p2qâ€, Mathematical problems in Engineering, (2014), 459135:4.

[10] GAP. The gap group, groups, algorithms, and programming, version 4.4, http://www.gap-system.org.

Miah SH,†On the isomorphism of group algebras of groups of order 8qâ€, J. Lond. Math. Soc, Vol.2, No.9 (1975), pp. 549–556.

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How to Cite

Rashid, S., & ., . (2018). Groups, Algorithms and Programming (GAP) and the Nonabelian Tensor Square of Groups of Order 8q. International Journal of Engineering & Technology, 7(4.1), 9–13. https://doi.org/10.14419/ijet.v7i4.1.19482

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Received 2018-09-11
Accepted 2018-09-11
Published 2018-09-12