Allen, Daniel; Cream, Megan; Finlay, Kate; Meier, John; Rohatgi, Ranjan Complete growth series and products of groups. (English) Zbl 1223.20032 New York J. Math. 17, 321-329 (2011). Summary: The property of having a rational complete growth series is shown to be preserved by direct and graph products, as well as certain free products with amalgamation. These results extend earlier work of Alonso, Chiswell and Lewin. MSC: 20F65 Geometric group theory 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations 20E22 Extensions, wreath products, and other compositions of groups 20F05 Generators, relations, and presentations of groups Keywords:complete growth series; free products with amalgamation; graph products; finitely generated groups; finite generating sets; length functions PDF BibTeX XML Cite \textit{D. Allen} et al., New York J. Math. 17, 321--329 (2011; Zbl 1223.20032) Full Text: EMIS EuDML