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- W1984869204 abstract "Abstract Let S be a subset of a group G such that S −1 = S . Denote by gr ( S ) the subgroup of G generated by S , and by l s ( g ) the length of an element g ∈ gr( S ) relative to the set S . Suppose that V is a finite subset of a free group F of countable rank such that the verbal subgroup V ( F ) is a proper subgroup of F . For an arbitrary group G , denote by ( G ) the set of values in G of all the words from the set V . In the present paper, for amalgamated products G = A * H B such that A ≠ H and the number of double cosets of B by H is at least three, the infiniteness of the set {l s ( g ) | g ∈ gr ( S )}, where S = ( G ) ∪ ( G ) −1 , is estabilished." @default.
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- W1984869204 date "2001-08-01" @default.
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- W1984869204 title "A problem of expressibility in some amalgamated products of groups" @default.
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- W1984869204 doi "https://doi.org/10.1017/s1446788700002743" @default.
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