


On the profinite topology on solvable groups



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.

Date: 
20180523

Start Time: 
15:30 
Speaker: 
Khadijeh Alibabaei (CMUP, Univ. Porto)

Institution: 
CMUP, Univ. Porto

Place: 
Room 5.5

Research Groups: 
Algebra and Combinatorics
Algebra, Logic and Topology

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