On subgroups of the unitary group especially of degree 2

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Mathematics and natural sciences, University of Brawijaya, Malang, Indonesia

2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia

Abstract

The point of the current investigation is to research one of the extremely significant groups exceedingly associated with the classical group which is called the special unitary groups $SU_{2}(K)$ particularly of degree $2$. Let $K$ be a field of characteristic, not equal $2$, our principal objective that to depicting subgroups of $SU_{2}(K)$ over a field $K$ contains all elementary unitary transvections.

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