On Outer-Commutator Words

Wilson, Jeremy

Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 608-620

Résumé

Let F be the group freely generated by the countably infinite set X = {x 1, x 2, . . . ,x i, . . . }. Let w(x 1, x 2, . . . , xn ) be a reduced word representing an element of F and let G be an arbitrary group. Then V(w, G) will denote the set whose elements will be called values of w in G. The subgroup of G generated by V(w, G) will be called the verbal subgroup of G with respect to w and be denoted by w(G).

Détail

DOI : 10.4153/CJM-1974-058-1

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