Finitely generated residually torsion-free nilpotent groups. I
1999 ◽
Vol 67
(3)
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pp. 289-317
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Keyword(s):
AbstractThe object of this paper is to study the sequence of torsion-free ranks of the quotients by the terms of the lower central series of a finitely generated group. This gives rise to the introduction into the study of finitely generated, residually torison-free nilpotent groups of notions relating to the Gelfand-Kirillov dimension. These notions are explored here. The main result concerning the sequences alluded to is the proof that there are continuously many such sequences.
1999 ◽
Vol 09
(02)
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pp. 179-212
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1971 ◽
Vol 23
(5)
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pp. 929-932
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Keyword(s):
1978 ◽
Vol 19
(2)
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pp. 153-154
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Keyword(s):
1992 ◽
Vol 35
(3)
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pp. 390-399
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Keyword(s):
1995 ◽
Vol 117
(3)
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pp. 431-438
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1956 ◽
Vol 52
(4)
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pp. 611-616
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Keyword(s):
2018 ◽
Vol 2018
(738)
◽
pp. 281-298
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