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• W1025487726 abstract "This chapter discusses the algorithmic problems for solvable groups. Classical algorithmic problems— the word problem, conjugacy problem, and isomorphism problem; arose in the theory of groups from topolocal considerations and were formulated for the first time at the beginning of this century by Dehn. Studies show that these problems have negative solutions in the class of all groups. However, for important classes of groups such as nilpotent and solvable groups, these problems remained unsolved. Recently, a number of results have been obtained in this field and this chapter is intended to survey them. The majority of algorithmic problems have a negative solution in the class of all groups. Therefore, it is natural to study algorithmical problems with additional restrictions on the groups considered. In a number of papers, such restrictions were on the form of the defining relations. However, the chapter considers restrictions having a natural group-theoretic character, such as nilpotency, polycyclicity, and solvability." @default.
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• W1025487726 date "1980-01-01" @default.
• W1025487726 modified "2023-09-23" @default.
• W1025487726 title "Algorithmic Problems for Solvable Groups" @default.
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• W1025487726 doi "https://doi.org/10.1016/s0049-237x(08)71344-2" @default.
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