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- W2013455429 abstract "In their paper they ask whether or not the decidability of other group theoretic decision problems such as the order problem1 or the conjugacy problem2 could be similarly characterized in purely algebraic terms. In this paper we answer their question in the affirmative, for both of these decision problems as well as for several other interesting problems such as the power problem3 and the Magnus problem *. The characterizations given below are all of the form: The decision problem P is solvable for a given finitely generated group G if and only if there exist embeddings G -+Y Y --+J K where 9 is simple and K is finitely presented, where the embedding ay of G into K satisfies some further purely algebraic condition which depends on P. We also give analogs of these results for semigroups." @default.
- W2013455429 created "2016-06-24" @default.
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- W2013455429 date "1977-11-01" @default.
- W2013455429 modified "2023-09-24" @default.
- W2013455429 title "The Boone-Higman theorem and the conjugacy problem" @default.
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- W2013455429 doi "https://doi.org/10.1016/0021-8693(77)90281-2" @default.
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