Discussion on Some
Properties of an
Infinite Non-abelian
Group

Ankur Bala; Madhuri Kohli

doi:https://doi.org/10.14445/22315373/IJMTT-V48P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 2 | Year 2017 | Article Id. IJMTT-V48P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P513

Discussion on Some Properties of an Infinite Non-abelian Group

Ankur Bala, Madhuri Kohli

Abstract

In this Article, we have discussed some of the properties of the infinite non-abelian group of matrices whose entries from integers with non-zero determinant. Such as GL(n,Z) the number of elements of order 2, number of subgroups of order 2 in this group.

Keywords

Infinite non-abelian group GL(n,Z)

References

[1] Contemporary Abstract Algebra, J.A. Gallian, Cengage Learning, 2016 .ISBN: 1305887859, 9781305887855
[2] Abstract Algebra (3rd Edition), David S. Dummit , Richard M. Foote, ISBN: 978-0-471-43334-7
[3] On Embedding of Every Finite Group into a Group of Automorphism IJMTT, Vol.37, Number 2, ISSN: 2231-5373
[4] A Course in Abstract Algebra, Vijay K. Khanna, S.K. Bhambri, Second Edition, Vikas Publishing House Pvt Limited, 1999, 070698675X, 9780706986754

Citation :

Ankur Bala, Madhuri Kohli, "Discussion on Some Properties of an Infinite Non-abelian Group," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 2, pp. 108-110, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P513