Abstract
The problem of expressibility is solved in amalgamated products of groups.
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References
V. G. Bardakov, “On the width of verbal subgroups of some free constructions,” Algebra Logika, 36, No. 5, 494–517 (1997)
I. V. Dobrynina, “On the width in amalgamated products,” Mat. Zametki, 68, no. 3, 353–359 (2000).
V. A. Faiziev, “A problem of expressibility in some amalgamated products of groups,” J. Aust. Math. Soc., 71, 105–115 (2001).
R. I. Grigorchuk, “Bounded cohomology of group constructions,” Mat. Zametki, 59, no. 4, 546–550 (1996).
Yu. I. Merzlyakov, Rational Groups [in Russian], Nauka, Moscow (1987).
A. H. Rhemtulla, “A problem of bounded expressibility in free products,” Proc. Cambridge Philos. Soc., 64, No. 3, 573–584 (1969).
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 1, pp. 23–30, 2009.
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Dobrynina, I.V. Solution of the problem of expressibility in amalgamated products of groups. J Math Sci 166, 704–709 (2010). https://doi.org/10.1007/s10958-010-9886-0
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DOI: https://doi.org/10.1007/s10958-010-9886-0