1111-20-730 Jorge Almeida ([email protected]), Centro de

1111-20-730 Jorge Almeida ([email protected]), Centro de

1111-20-730
Jorge Almeida ([email protected]), Centro de Matematica, Departamento de, Matematica,
Faculdade de Ciencias, Universidade do Porto Rua do Campo Alegre,687, 4169-007 Porto, Porto,
Portugal, M. Hossein Shahzamanian C.* ([email protected]), Centro de
Matematica, Departamento de, Matematica, Faculdade de Ciencias, Universidade do Porto Rua do
Campo Alegre,687, 4169-007 Porto, Porto, Portugal, and Benjamin Steinberg
([email protected]), Department of Mathematics, City College of New York, NAC
8/133, Convent Ave at 138th Street, New York, NY NY 10031. The pro-nilpotent group topology
on a free group. Preliminary report.
In this paper, we work on the pro-nilpotent group topology of a free group. First we investigate the closure of the product
of finitely many subgroups of a free group in the pro-nilpotent group. Then we present an algorithm for the calculation
of the closure in the pro-nilpotent group topology of rational subsets of a free group. (Received February 10, 2015)
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