Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Unique subwords in nonperiodic words
HTML articles powered by AMS MathViewer

by C. M. Weinbaum PDF
Proc. Amer. Math. Soc. 109 (1990), 615-619 Request permission

Abstract:

Let $A,D$ be words over some alphabet. $D$ has position $p$ in the cyclic word $A$ if the cyclic permutation of $A$ which begins with the $p$th letter of $A$ has an initial subword equal to $D$. It is proved that every nonperiodic word $A$ of length $> 1$ has a cyclic permutation which is a product BC for some nonempty subwords $B,C$ having unique positions in the cyclic word $A$.
References
    W. Magnus, A. Karrass, and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20M05, 05A05, 20F05
  • Retrieve articles in all journals with MSC: 20M05, 05A05, 20F05
Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 615-619
  • MSC: Primary 20M05; Secondary 05A05, 20F05
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1017852-0
  • MathSciNet review: 1017852