Abstract
My lecture is devoted to the word problem for varieties of solvable groups and Lie algebras.
Research at MSRI supported in part by NSF Grant DMS-812079–05
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References
O.G. Kharlampovich, Finitely presented solvable group with unsolvable word problem, Izvestiya Ak. Nauk, Ser. Math. 45:4 (1981), 852–873.
G. Baumslag, D. Gildenhuys, and R. Strebel, Algorithmically unsolvable problems about finitely presented solvable groups, Lie and associative algebras, J. Pure and Applied Algebra 39: 1 /2 (1986), 53–94.
O.G. Kharlampovich, Finitely presented solvable groups and Lie algebras with unsolvable word problem, Math. Zametki 45:5 (1989).
O.G. Kharlampovich and M.V. Sapir, The word problem in the varieties of associative and Lie algebras, Izvestiya Vuzov. Math. 3 (1989).
O.G. Kharlampovich, The word problem in the variety Z912%, Izvestiya Vuzov. Math. 11 (1988), 21–23.
B.N. Remeslennikov, An example of group finitely presented in the variety 2(n, n 5, with unsolvable word problem, Algebra i Logika 12:5 (1973), 577–602.
V.I. Epanchinzev and G.P. Kukin, The word problem in the variety of groups, contained 91221, Algebra i Logika 18:3 (1979), 258–285.
O.G. Kharlampovich, The word problem for subvarieties of the variety íY1221, Algebra i Logika 26:4 (1987), 481–501.
R. Bieri and R. Strebel, Valuations and finitely presented metabelian groups, Proc. London Math. Soc. (Ser. III) 41:3 (1980), 439–464.
H.C. Romanovsky, On the word problem for central metabelian groups, Sib. Math. Jour. 23:4 (1982), 201–205.
F.B. Cannonito and N. Gupta, On varietal analogs of Higman’s embedding theorem, Contemp. Math. 33 (1984), 134–140.
M.V. Sapir, Algorithmical problems in the varieties of semigroups, Izvestiya Vuzov. Math. 12 (1985), 71–74.
O.G. Kharlampovich, The word problem for solvable groups and Lie algebras,Math. Sbornic. (1989) (to appear).
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© 1992 Springer-Verlag New York, Inc.
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Kharlampovich, O. (1992). The Word Problem for Solvable Groups and Lie Algebras. In: Baumslag, G., Miller, C.F. (eds) Algorithms and Classification in Combinatorial Group Theory. Mathematical Sciences Research Institute Publications, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9730-4_2
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DOI: https://doi.org/10.1007/978-1-4613-9730-4_2
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