Unusual Way of Looking at a Finite Group as Subgroup of a Special Linear Group

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-53 Number-3
Year of Publication : 2018
Authors : Gaurav Mittal, Kanika Singla
  10.14445/22315373/IJMTT-V53P522

MLA

Gaurav Mittal, Kanika Singla "Unusual Way of Looking at a Finite Group as Subgroup of a Special Linear Group", International Journal of Mathematics Trends and Technology (IJMTT). V53(3):180-183 January 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper we have proved that every group of finite order can be embedded in a normal subgroup of the group of invertible matrices over the field.

Reference
[1] Basic Abstract Algebra, 2nd ed, P. B. Bhattacharya, S. K. Jain and S. R. Nagpaul, Cambridge University Press, 1994.
[2] Contemporary Abstract Algebra, 8th ed, Joseph A. Gallian, Thomson Brooks/Cole, 2012.

Keywords
Embedding, General linear group, Perfect group, Special linear group, Alternating group.