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Using concepts of physics of elementary particles concerning the breaking ofsymmetry and grannd unified theory we propose to study with the algebraicapproximation the degeneracy finded in the genetic code with the incorporationof a horizontal symmetry used in gauge theories to fit the contents of themultiplets of the genetic code. It is used the algebraic approch of Hornos et.al. \cite{main,PRL71,PRE,MPLB}. We propose an example for the incorporation ofhorizontal symmetry to study mixtures of elements of the multiplets.

Horizontal symmetry in the algebraic approach of genetic code