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Sex dependent genetic recombination rates for several loci. (English) Zbl 0711.92012
The authors study a genetic algebra obtained from the situation where there are linked loci with different recombination rates for the two sexes. They obtain a non-commutative algebra although a similar situation studied earlier gave rise to a commutative algebra (but with a larger dimension). The main part of the paper deals with the plenary powers of the algebra. This includes a formula for the plenary train roots of the zygotic algebra.
Reviewer: H.Gonshor

MSC:
92D10 Genetics and epigenetics
17D92 Genetic algebras
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[2] Holgate, P., Canonical multiplication in the genetic algebra for linked loci, Linear algebra appl., 26, 281-286, (1979) · Zbl 0408.92004
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[4] Lopez-Sanchez, J.; Vargas, A.P., Zygotic algebra for two-linked loci with sexually different recombination rates, Bull. math. biol., 47, 771, (1985) · Zbl 0586.92016
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