The Journal of the Indian Mathematical Society

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Jordan Regular Generators of General Linear Groups


Affiliations
1 Department of Mathematics and Astronomy, Lucknow University, Lucknow, 226007, India
2 Department of Mathematics, Indian Institute of Technology, Delhi, 110016, India
     

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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.
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  • Jordan Regular Generators of General Linear Groups

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Authors

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

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.

Keywords


Jordan Regular Units, General Linear Groups.

References