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B.H. Neumann recently proved some implications for semigroup laws in groups. This may help in the solution of a problem posed by G.M. Bergman in 1981.
[1]Burns, R.G., Macedońska, O. and Medvedev, Y.,, ‘Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties’, J. Algebra195 (1997), 510–525.CrossRefGoogle Scholar
[2]
[2]Bergman, G.M., ‘Hyperidentities of groups and semigroups’, Aequationes Math.23 (1981), 50–65.CrossRefGoogle Scholar
[3]
[3]Bergman, G.M., ‘Questions in algebra’, (preprint, Berkeley, U.C.1986).Google Scholar
[4]
[4]Clifford, A.H. and Preston, G.B., The algebraic theory of semigroups, Math. Surveys 7 (Amer. Math. Soc., Providence R.I., 1964).Google Scholar
[5]
[5]Krempa, J. and Macadońska, O., ‘On identities of cancellative semigroups’, Contemp. Mathem.131 (1992), 125–133.CrossRefGoogle Scholar
[6]
[6]Lewin, J. and Lewin, T., ‘Semigroup laws in varieties of soluble groups’, Proc. Cambridge Philos. Soc.65 (1969), 1–9.CrossRefGoogle Scholar