Growth series of some wreath products
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- by Walter Parry
- Trans. Amer. Math. Soc. 331 (1992), 751-759
- DOI: https://doi.org/10.1090/S0002-9947-1992-1062874-3
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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
- N. Bourbaki, Commutative algebra, Addison-Wesley, Reading, Mass., 1972.
J. Cannon, The growth of the closed surface groups and the compact hyperbolic groups, preprint.
M. Grayson, Geometry and growth in three dimensions, Thesis, Princeton Univ., Princeton, N. J., 1983.
- R. I. Grigorchuk, Degrees of growth of finitely generated groups and the theory of invariant means, Izv. Akad. Nauk SSSR Ser. Mat. 48 (1984), no. 5, 939–985 (Russian). MR 764305
- J. Milnor, A note on curvature and fundamental group, J. Differential Geometry 2 (1968), 1–7. MR 232311
- Jean-Pierre Serre, Trees, Springer-Verlag, Berlin-New York, 1980. Translated from the French by John Stillwell. MR 607504
Bibliographic 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