commutator subgroup

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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.
References in periodicals archive ?
In [3], the authors provide a combinatorial method for calculating the abelianization of the discrete fundamental group of the permutahedron, which in turn gives a purely combinatorial method of calculating the Betti number of [M.
At each step in the truncation process, the number of generators of the abelianization of the discrete fundamental group increases, going from trivial in the case of the n-simplex to [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] for the associahedron and [2.
Though we are primarily concerned in this abstract with the abelianization of [A.