RESEARCH ARTICLE
Free Triplet Conjecture and Equivalence Classes Derived Using Group Theory
Zhang Dakun*, Song Guozhi, Huang Cui
Article Information
Identifiers and Pagination:
Year: 2015Volume: 9
First Page: 216
Last Page: 220
Publisher ID: TOBIOTJ-9-216
DOI: 10.2174/1874070701509010216
Article History:
Received Date: 16/05/2015Revision Received Date: 23/08/2015
Acceptance Date: 31/09/2015
Electronic publication date: 27/10/2015
Collection year: 2015
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
All proteins are made up of 20 different amino acids which contain 4 kinds of nucleotides . Three consecutive nucleotides on the gene, called triplet codons, are used to code an amino acid, and 64 triplet codons comprise the genetic code table. Central dogma (DNA-RNA-protein) has been acknowledged, but the process and mechanism of mRNA passing through the nuclear membrane still require further investigation. For these two problems mentioned above, this paper proposed a conjecture of nucleotide free triplet and obtained 20 equivalence classes of mapping from free triplet vertex set to nucleotide set using group theory. Whether the four numbers 3, 4, 20 and 64 have relevance are taken into consideration here. Subsequently, the numbers 3, 4, 20 and 64 were connected together which was important for the analysis of triplet code and protein composition.