The central subgroup of the nonabelian tensor square of Bieberbach group of dimension three with point group C2 × C2 (IR)

Nor Fadzilah Abdul Ladi

QR Code Link :
Type :	article
Subject :	Q Science (General)
ISSN :	0094243X
Main Author :	Nor Fadzilah Abdul Ladi
Additional Authors :	Rohaidah Masri Nor’ashiqin Mohd Idrus Tan, Yee Ting
Title :	The central subgroup of the nonabelian tensor square of Bieberbach group of dimension three with point group C2 × C2 (IR)

Year of Publication :	2017
PDF Full Text :	Login required to access this item.

Abstract :

Bieberbach groups are crystallographic groups. By computing the central subgroup of the nonabelian tensor square of a group, the properties of the group can be determined. In this paper, the central subgroup of the nonabelian tensor square of one Bieberbach group of dimension three with point group C2 × C2 is computed. In order to compute the (S3 (3)), the derived subgroup and the abelianization of the group are first constructed.

References

1. Blyth, R.D., Fumagalli, F., Morigi, M. Some structural results on the non-abelian tensor square of groups (Open Access)(2010) Journal of Group Theory, 13 (1), pp. 83-94. Cited 22 times. doi: 10.1515/JGT.2009.032 2. Masri, R. (2009) The Nonabelian Tensor Squares of Certain Bieberbach Groups with Cyclic Point Group of Order Two. Cited 12 times. Ph.D. thesis, Universiti Teknologi Malaysia 3. Idrus, N.M. (2011) Bieberbach Groups with Finite Point Groups. Cited 3 times. Ph.D. thesis, Universiti Teknologi Malaysia 4. Fauzi, W.N.F.W.M., Idrus, N.M., Masri, R., Tan, Y.T., Sarmin, N.H. The computation of a central subgroup of the nonabelian tensor square of a Bieberbach group of dihedral point group (2014) Proceeding of 2nd International Science Postgraduate Conference 2014 5. The CARAT homepage https://wwwb.math.rwth-aachen.de/carat/bieberbach.html 6. Rocco, N.R. On a construction related to the non-abelian tensor square of a group (1991) Boletim da Sociedade Brasileira de Matemática, 22 (1), pp. 63-79. Cited 48 times. doi: 10.1007/BF01244898 7. Blyth, R.D., Morse, R.F. Computing the nonabelian tensor squares of polycyclic groups (Open Access) (2009) Journal of Algebra, 321 (8), pp. 2139-2148. Cited 28 times. doi: 10.1016/j.jalgebra.2008.12.029 8. Zomorodian, A.J. (2005) Topology for Computing, p. 80. Cited 142 times. (Cambridge University Press, New York) 9. Judson, T.W. (2013) Abstract Algebra: Theory and Applications, pp. 94-96. Cited 35 times. (Stephen F. Austin State University, United States) 10. Brown, R., Johnson, D.L., Robertson, E.F. Some computations of non-abelian tensor products of groups (Open Access) (1987) Journal of Algebra, 111 (1), pp. 177-202. Cited 138 times. doi: 10.1016/0021-8693(87)90248-1

This material may be protected under Copyright Act which governs the making of photocopies or reproductions of copyrighted materials.
You may use the digitized material for private study, scholarship, or research.

Back to previous page