Groups, Algorithms and Programming (GAP) and the Nonabelian Tensor Square of Groups of Order 8q
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Keywords:
Groups of order 8q, commutator subgroup, the Schur Multiplicator, nonabelian tensor square, GAPAbstract
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
Brown R, Loday JL, ” Excision homotopique en basse dimension”, C. R. Acad. Sci. Paris S´er. I Math. Vol.298 (1984), pp.353–356
Brown R, Johnson DL, Robertson EF, ”Some computations of nonabelian tensor products of groups”, J. Algebra, Vol. 111 (1987), pp.177–202.
Hannebauer T,” On nonabelian tensor square of linear groups”, Arch. Math., Vol. (1990), No. 55, pp. 30–34.
Rashid S, Sarmin NH, Erfanian A and Mohd Ali NM, ” On the Nonabelian Tensor Square and Capability of Groups of Order p2q”, Arch. Math., Vol.97, No.4, (2011), pp.297-306.
Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM, ” A note on the nonabelian tensor Square”, Indian Journal of Science and Technolo-gy, Vol.5, No.6 ( 2012), pp.2877–9.
View more references (6)
Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM, ” On the nonabelian tensor square and capability of groups of order 8q”, Indagationes Mathematicae, Vol.24 (2013), pp.581–8.
Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM,” On the nonabelian tensor square of groups of order p4”, Science Asia, Vol. 39S (2013), pp.16–8.
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 p3q”, Science Asia, Vol. 40S (2014), pp.73–7.
Rashid S, Sarmin NH, Erfanian A, Mohd Ali NM,” The schur mul-tiplier of pairs of groups of order p2q”, Mathematical problems in Engineering, (2014), 459135:4.
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 or-der 8q”, J. Lond. Math. Soc, Vol.2, No.9 (1975), pp. 549–556.