Refine your search
Collections
Co-Authors
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Sahai, Meena
- Jordan Regular Generators of General Linear Groups
Abstract Views :227 |
PDF Views:5
Authors
Affiliations
1 Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007, IN
2 Department of Mathematics, Indian Institute of Technology, Delhi, 110016, IN
1 Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007, IN
2 Department of Mathematics, Indian Institute of Technology, Delhi, 110016, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 422-433Abstract
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.Keywords
Jordan Regular Units, General Linear Groups.References
- A. Karrass, D. Solitar and W. Magnus, Combinatorial Group Theory, Dover Publications, INC, 1975.
- G. Chiaselotti, Some presentations for the special linear groups on finite fields, Ann. Mat. Pura Appl., 180(2001), 359-372.
- H. S. M. Coxeter and W. O. J. Mosser, Generators and Relations for Discrete Groups, Springer-Verlag, 1980.
- Joseph J. Rotman, An Introduction to the theory of groups, fourth ed., Graduate Texts in Mathematics, vol. 148, Springer-Verlag, New York, 1995.
- Michio Suzuki, Group Theory vol.1 , Gendai Sugaku [Modern Mathematics], vol.18, Iwanami Shoten, Tokyo, 1977.
- Parvesh Kumari, R. K. Sharma and Meena Sahai, Jordan Regular Units in Rings and Group Rings, Pre-Print.
- Pramod Kanwar, R. K. Sharma and Pooja Yadav, Lie Regular Generators of General Linear Groups II, International Electronic Journal of Algebra, 13, (2013), 91-108.
- R. K. Sharma, Pooja Yadav and Pramod Kanwar, Lie Regular Generators of General Linear Groups, Comm. Algebra, 40(4) (2012), 1304-1315.
- T. A. Francis, Presentations of the special and general linear groups, J. Algebra, 169(1994), 943-964.
- The GAP groups, GAP-Groups, Algorithms and Programming, Version 4.4,2004, (http://www.gap-system.org).