On p-Separability of Subgroups of Free Metabelian Groups
Keyword(s):
We prove that every free metabelian non-cyclic group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. As a corollary, we prove that for every prime number p, an arbitrary free metabelian non-cyclic group has a finitely generated p′-isolated subgroup which is not p-separable.
1992 ◽
Vol 35
(3)
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pp. 390-399
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1977 ◽
Vol 23
(2)
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pp. 147-165
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2014 ◽
Vol 51
(4)
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pp. 547-555
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1992 ◽
Vol 53
(3)
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pp. 408-420
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2017 ◽
Vol 58
(3)
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pp. 536-545
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2011 ◽
Vol 10
(03)
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pp. 377-389
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