References
Anick, D.J.: Non-commutative graded algebras and their Hilbert series. J. of Algebra78, 120–140 (1982)
Bass, H.: The degree of polynomial growth of finitely generated groups. Proc. London Math. Soc. (3)25, 603–614 (1972)
Bass, H.: AlgebraicK-Theory. New York: W.A. Benjamin 1968
Benson, M.: Growth series of finite extensions of ℤn are rational . Invent. Math.73, 251–269 (1983)
Cannon, J.: The growth of the closed surface groups and compact hyperbolic groups. Preprint
Govorov, V.E.: Graded algebras. Math. Notes12, 552–556 (1972)
Gruenberg, K.: Cohomological topics in group theory. Lecture Notes in Mathematics, vol. 143. Berlin-Heidelberg-New York: Springer 1970
Milnor, J.: A note on curvature and the fundamental group. J. Differential, Geometry2, 447–449 (1968)
Smythe, N.: The Euler characteristic and the growth function for groups (Preliminary report). ANU Mathematics Research Report No. 2, 1982
Stallings, J.: Centreless groups, an algebraic formulation of Gottlieb's Theorem. Topology4, 129–134 (1965)
Wagreich, P.: The growth function of a discrete group. Proc. Conference on Algebraic Varieties with Group Actions. Lecture Notes, vol. 956, pp. 125–144. Berlin-Heidelberg-New York: Springer 1982
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Smythe, N. Growth functions and Euler series. Invent Math 77, 517–531 (1984). https://doi.org/10.1007/BF01388836
Issue Date:
DOI: https://doi.org/10.1007/BF01388836