C. R. Math. Rep. Acad. Sci. Canada Vol. 41 (2) 2019, pp. 20-31
October 26, 2019
Alexander Brudnyi,Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4; e-mail: abrudnyi@ucalgary.ca
Abstract/Résumé:
We study the structure of countable subgroups of the group \(G[[r]]\) of complex formal power series under the operation of composition of series. In particular, we prove that every finitely generated fully residually free group is embeddable in \(G[[r]]\).
Nous étudions la structure des sous-groupes dénombrables du groupe \(G[[r]]\) des séries de puissance formelle sous l’opération de la composition des séries. En particulier, nous prouvons que chaque groupe qui est finement engendré et \(\omega\)-résiduellement libre admet un plongement dans \(G[[r]]\).
AMS Subject Classification: Free products; free products with amalgamation; Higman-Neumann-Neumann extensions; and generalizations, Other groups related to topology or analysis 20E06, 20F38
[Full Text PDF is available to paid logged in subscribers only, except for the most recent year which is open access as is content older than 5 years.]
