commutator subgroup

(redirected from Derived group)

commutator subgroup

[′käm·yə‚tād·ər ′səb‚grüp]
(mathematics)
The subgroup of a given group G consisting of all products of the form g1 g2gn, where each gi is the commutator of some pair of elements in G.
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The tender aims at providing data regarding participation information on German companies from which essentially control relations and derived group associated companies can be assigned.
This essentially conserves combining ability of the derived group.
This has coincided with the emergence of the unique germplasm groups derived from the Commercial Hybrid (Pioneer Hi-Bred hybrids 3737, 3558, and 3535) derived group.
We assume that the derived group D is simply connected.
0] of D for these 29 reduced forms in which the derived group D is simply connected.
0] for all 29 reduced irreducible regular prehomogeneous vector spaces (G,[rho], X) in which the derived group D is simply connected.
Let (G, [rho], X) be an irreducible regular prehomogeneous vector space defined over k with a simply connected derived group D.
The more derived groups of fungi--zygomycetes, ascomycetes, and basidiomycetes--are all predominantly filamentous and terrestrial, and lack flagellated cells at any stage of the life cycle.
These geometrically derived groups are particularly useful for representing physical symmetries.
The large estimates of D in the progenitor groups relative to the derived groups were attributable to the large number of alleles that occurred only in one or a few progenitor lines.