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A Note on Root Decision Problems in Groups
Published online by Cambridge University Press: 20 November 2018
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Consider a positive integer r > 1. We say that the rth root problem is solvable for a group G if we can decide for any W ॉ G whether or not W has an rth root, i.e. whether or not there exists V ॉ G such that W = Vr.
Baumslag, Boone and Neumann [1] proved that there exists a finitely presented group with all root problems unsolvable. Here we are concerned with the relationship between the different root problems.
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- Copyright © Canadian Mathematical Society 1973
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