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Description: |
We show that the wreath product of a finitely generated abelian group with a polycyclic group is a LERF group. This theorem yields as a corollary that the finitely generated free metabelian group is LERF, a result due to Coulbois.
We also show that the finitely generated free solvable group of degree three, which is not LERF, does not contain a strictly ascending {HNN}-extension of a finitely generated group. This settles, in the negative, a question of J. O. Button.
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Date: |
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| Start Time: |
15:30 |
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Speaker: |
Khadijeh Alibabaei (CMUP, Univ. Porto)
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Institution: |
CMUP, Univ. Porto
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Place: |
Room 5.5
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| Research Groups: |
-Algebra and Combinatorics
-Algebra, Logic and Topology
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See more:
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<Main>
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