Growth functions for residually torsion-free nilpotent groups

Alperin, Roger C.; Peterson, Brian L.

doi:10.1090/S0002-9939-1990-1017843-X

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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Growth functions for residually torsion-free nilpotent groups
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by Roger C. Alperin and Brian L. Peterson PDF

Proc. Amer. Math. Soc. 109 (1990), 585-587 Request permission

Abstract:

We show that G. Baumslag’s growth function for the free group is not algebraic.

References

Gilbert Baumslag, Some reflections on finitely generated metabelian groups, Combinatorial group theory (College Park, MD, 1988) Contemp. Math., vol. 109, Amer. Math. Soc., Providence, RI, 1990, pp. 1–9. MR 1076371, DOI 10.1090/conm/109/1076371
Jean-Pierre Serre, Lie algebras and Lie groups, W. A. Benjamin, Inc., New York-Amsterdam, 1965. Lectures given at Harvard University, 1964. MR 0218496