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the big powers condition — 1 results found.

      
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Subgroups of the Group of Formal Power Series with the Big Powers Condition
C. R. Math. Rep. Acad. Sci. Canada Vol. 41 (2) 2019, pp. 20-31
Alexander Brudnyi (Received: 2019/07/17, Revised: 2019/09/01)

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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 \(G[[r]]\)

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