Jordan Regular Generators of General Linear Groups

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Authors

  • Meena Sahai
     Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007 ,IN
  • R. K. Sharma
     Department of Mathematics, Indian Institute of Technology, Delhi, 110016 ,IN
  • Parvesh Kumari
     Department of Mathematics, Indian Institute of Technology, Delhi, 110016 ,IN

DOI:

https://doi.org/10.18311/jims/2018/20971

Keywords:

Jordan Regular Units, General Linear Groups
Mathematical Analysis & Logic

Abstract

In this article Jordan regular units have been introduced. In particular, it is proved that for n ≥ 2, the general linear group GL(2; F2n) can be generated by Jordan regular units. Further, presentations of GL(2, F4); GL(2, F8); GL(2, F16) and GL(2, F32) have been obtained having Jordan regular units as generators.

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Published

2018-06-01

How to Cite

Sahai, M., Sharma, R. K., & Kumari, P. (2018). Jordan Regular Generators of General Linear Groups. The Journal of the Indian Mathematical Society, 85(3-4), 422–433. https://doi.org/10.18311/jims/2018/20971

Issue

Volume 85, Issue 3-4, July-December 2018

Section

Articles

License

Copyright (c) 2018 Meena Sahai, R. K. Sharma, Parvesh Kumari

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-04-24
Accepted 2018-04-25
Published 2018-06-01

 

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