AbstractTriticum tauschiiprovides breeders with a valuable source of resistance and tolerance genes. Elucidation of the inheritance of traits in this species that hinder its use in breeding programmes is therefore of interest to wheat breeders. Inheritance of threshability was investigated in the crosses of four non‐free‐threshing (NFT) synthetic hexaploids (Triticum turgidum×T. tauschii) and two free‐threshing (FT)T. aestivumcultivars during four crop seasons over 3 years at E1 Batan and Ciudad Obregon, Mexico. The parents, their F1Hybrids and individual F2plant‐derived F3progenies of the crosses revealed that ‘Altar 84’/T. tauschii(219), ‘Chen’/T. tauschii(205), ‘Chen’/T. tauschii(224), and ‘Duergand’/T. tauschii(214) have independently segregating loci with two dominant alleles controlling threshability. Intercrosses among the synthetics, except ‘Altar 84’/T. tauschii(219), showed the genes to be allelic to each other. The cross between the FT cultivars showed no segregation in the F3generation, indicating common recessive genes. Based on these findings, population sizes of the synthetic‐derived breeding materials should be increased to improve the chances of selecting FT des
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