The length of elements in free solvable groups
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- by Carl Droms, Jacques Lewin and Herman Servatius
- Proc. Amer. Math. Soc. 119 (1993), 27-33
- DOI: https://doi.org/10.1090/S0002-9939-1993-1160298-8
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Abstract:
We examine the relationship between the complexity of the word problem for a presentation and the complexity of the problem of determining the length of a shortest word equivalent to a given word. Our main result is that the length of the element represented by a word in a free solvable group can be determined in polynomial time.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 27-33
- MSC: Primary 20F06; Secondary 20F14
- DOI: https://doi.org/10.1090/S0002-9939-1993-1160298-8
- MathSciNet review: 1160298