GenomAutomorphism

GenomAutomorphism computes automorphisms between pairwise aligned DNA sequences represented as elements from a Genomic Abelian group.

Key Features:

• Algebraic DNA Representation: Represents multiple sequence alignments of length N bp as elements of a finite Abelian group created by the direct sum of homocyclic Abelian groups of prime-power order.
• Genomic Scale Analysis: Enables analysis from genomic regions up to whole genomes from a given population of any species or closely related species.
• Abelian p-group Framework: Implements representation of genomic sequences as a direct sum of cyclic groups, specifically Abelian p-groups.

Scientific Applications:

• Population Genomics: Supports algebraic analysis of whole genomes or genomic regions across populations from any species or closely related species.
• Comparative Sequence Analysis: Enables computation of automorphisms between pairwise aligned DNA sequences for studying sequence relationships.

Methodology:

Sequences are represented as elements from a Genomic Abelian group through the direct sum of homocyclic Abelian groups of prime-power order; automorphisms are then computed between pairwise aligned DNA sequences in this algebraic framework.