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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The length of elements in free solvable groups
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by Carl Droms, Jacques Lewin and Herman Servatius PDF
Proc. Amer. Math. Soc. 119 (1993), 27-33 Request permission

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.
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Additional 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