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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1981 Volume 45, Issue 4, Pages 852–873 (Mi im1588)

This article is cited in 16 papers

A finitely presented solvable group with unsolvable word problem

O. G. Kharlampovich


Abstract: In this paper an example is constructed of a solvable group of length 3 with unsolvable word problem that is finitely presented in the class of all groups.
Bibliography: 9 titles.

UDC: 519.45

MSC: Primary 20F05, 20F10, 20F16; Secondary 03D10

Received: 29.04.1980


 English version:
Mathematics of the USSR-Izvestiya, 1982, 19:1, 151–169

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© Steklov Math. Inst. of RAS, 2026