ON THE CAPABILITY OF FINITELY GENERATED NON-TORSION GROUPS OF NILPOTENCY CLASS 2
2011 ◽
Vol 53
(2)
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pp. 411-417
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Keyword(s):
AbstractA 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.
Spectra of conjugated ideals in group algebras of abelian groups of finite rank and control theorems
1996 ◽
Vol 38
(3)
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pp. 309-320
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2006 ◽
Vol 05
(01)
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pp. 1-17
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2011 ◽
Vol 10
(06)
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pp. 1283-1290
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1995 ◽
Vol 38
(3)
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pp. 475-484
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1974 ◽
Vol 17
(3)
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pp. 305-318
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2001 ◽
Vol 30
(2)
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pp. 373-404
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2018 ◽
Vol 61
(1)
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pp. 295-304
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