Jordan Regular Generators of General Linear Groups


Affiliations

  • Lucknow University, Department of Mathematics and Astronomy, Lucknow, 226007, India
  • Indian Institute of Technology, Department of Mathematics, 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

Subject Discipline

Mathematical Sciences

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