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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Growth series of some wreath products
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by Walter Parry PDF
Trans. Amer. Math. Soc. 331 (1992), 751-759 Request permission

Abstract:

The growth series of certain finitely generated groups which are wreath products are investigated. These growth series are intimately related to the traveling salesman problem on certain graphs. A large class of these growth series is shown to consist of irrational algebraic functions.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 331 (1992), 751-759
  • MSC: Primary 20F32; Secondary 05C25, 20E22
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1062874-3
  • MathSciNet review: 1062874