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Summary:
The notion of population, mendelian population, isomorphism of populations, phenotype system, phenogram are formalized. The one-one correspondence between isomorphisms of the mendelian population and permutations of the sets of alleles and the set of loci is shown.
References:
[1] Ю. У. Любич: Основные понятия и теоремы эволюционной генетики свободных популяций. Успехи Мат. Наук 5 (1971), 51 - 116. Zbl 1168.35423
[2] D. L. Hartl T. Maruyama: Phenogram enumeration: the number of regular genotype-phenotype correspondences in genetic systems. J. Theor. Biol. 20 (1968), 129- 163. DOI 10.1016/0022-5193(68)90186-0
[3] N. G. de Bruijn: Polya's theory of counting. Chapter 5 in Applied Combinatorial Mathematics, edited by E. F. Beckenbach. J. Wiley and Sons, New York, 1964. Zbl 0144.00601
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