On Embedding of Every Finite Group into a Group of Automorphism

Kuldeep Singh; Ankur Bala

doi:https://doi.org/10.14445/22315373/IJMTT-V37P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 2 | Year 2016 | Article Id. IJMTT-V37P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P511

On Embedding of Every Finite Group into a Group of Automorphism

Kuldeep Singh, Ankur Bala

Abstract

In this Article, We have proved that every group of finite order can be embedded into a group of automorphism. We have used the famous classic result of cayley, which states that every group can be embedded into a group of permutations.

Keywords

Embedding, Finite Group, Group of Automorphism, Aut Z Z Z. n copies.

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.

Citation :

Kuldeep Singh, Ankur Bala, "On Embedding of Every Finite Group into a Group of Automorphism," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 2, pp. 76-77, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P511