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- W1969873362 abstract "Abstract Let G be a group. An equation over G is an expression r(t) = 1 where and e i ∈ {1, −1} for i = 1,…, n. r(t) = 1 is singular if e1 + e2 + · + e n = 0. Singular equations may have no solutions; e.g., a 1 t −1 a 2 t = 1, where a 1 and a 2 have different orders. In this work we formulate a conjecture which, if true, provides a sufficient condition for the solvability of singular equations in which some of the a i have finite order. We prove that the conjecture holds true for a class of groups which includes abelian and certain locally nilpotent groups." @default.
- W1969873362 created "2016-06-24" @default.
- W1969873362 creator A5016237554 @default.
- W1969873362 date "2004-12-29" @default.
- W1969873362 modified "2023-09-23" @default.
- W1969873362 title "On the Solvability of Equations Over Groups" @default.
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- W1969873362 doi "https://doi.org/10.1081/agb-120028793" @default.
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