Free quotients of finitely presented groups
Holt, Derek F. ; Rees, Sarah
Experiment. Math., Tome 5 (1996) no. 4, p. 49-56 / Harvested from Project Euclid
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We describe a computational, heuristic approach to the problem of deciding whether or not a given finitely presented group has a free quotient of rank two or more. Our strategy is to construct a finite nilpotent quotient of the given group, to search for quotients that are free within a variety containing that quotient, and then lift to the original group. We give theoretical justification to our strategy, and describe successful computations with sections of the Picard group $\SL _2(\Z[i])$.
Publié le : 1996-05-14
Classification:  20G35,  20E05 
@article{1047591147,
     author = {Holt, Derek F. and Rees, Sarah},
     title = {Free quotients of finitely presented groups},
     journal = {Experiment. Math.},
     volume = {5},
     number = {4},
     year = {1996},
     pages = { 49-56},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047591147}
}

Holt, Derek F.; Rees, Sarah. Free quotients of finitely presented groups. Experiment. Math., Tome 5 (1996) no. 4, pp.  49-56. http://gdmltest.u-ga.fr/item/1047591147/