Geodesic
Nilpotent-by-Noetherian Factorized Groups
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 391-403

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DOI

It is shown that a soluble-by-finite product G = AB of a nilpotent-by-noetherian group A and a noetherian group B is nilpotentby- noetherian. Moreover, a bound for the torsion-free rank of the Fitting factor group of G is given, in terms of the torsion-free rank of the Fitting factor group of A and the torsion-free rank of B.
DOI : 10.4153/CMB-1989-057-8
Mots-clés : 20F19, 20D40 
Amberg, Bernhard; Franciosi, Silvana; Giovanni, Francesco de. Nilpotent-by-Noetherian Factorized Groups. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 391-403. doi: 10.4153/CMB-1989-057-8
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     title = {Nilpotent-by-Noetherian {Factorized} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {391--403},
     year = {1989},
     volume = {32},
     number = {4},
     doi = {10.4153/CMB-1989-057-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-057-8/}
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