Geodesic
ON THE CAPABILITY OF FINITELY GENERATED NON-TORSION GROUPS OF NILPOTENCY CLASS 2
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 411-417

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DOI

A group is called capable if it is a central factor group. In this paper, we establish a necessary condition for a finitely generated non-torsion group of nilpotency class 2 to be capable. Using the classification of two-generator non-torsion groups of nilpotency class 2, we determine which of them are capable and which are not and give a necessary and sufficient condition for a two-generator non-torsion group of class 2 to be capable in terms of the torsion-free rank of its factor commutator group.
DOI : 10.1017/S001708951100019X
Mots-clés : 20D15, 20J05 
KAPPE, LUISE-CHARLOTTE; ALI, NOR MUHAINIAH MOHD; SARMIN, NOR HANIZA. ON THE CAPABILITY OF FINITELY GENERATED NON-TORSION GROUPS OF NILPOTENCY CLASS 2. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 411-417. doi: 10.1017/S001708951100019X
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     title = {ON {THE} {CAPABILITY} {OF} {FINITELY} {GENERATED} {NON-TORSION} {GROUPS} {OF} {NILPOTENCY} {CLASS} 2},
     journal = {Glasgow mathematical journal},
     pages = {411--417},
     year = {2011},
     volume = {53},
     number = {2},
     doi = {10.1017/S001708951100019X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951100019X/}
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