Subgroup properties of fully residually free groups-Reference-Cited by-同舟云学术

Subgroup properties of fully residually free groups

Published:2001-06-27 Issue:1 Volume:354 Page:335-362
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Kapovich Ilya

Abstract

We prove that fully residually free groups have the Howson property, that is the intersection of any two finitely generated subgroups in such a group is again finitely generated. We also establish some commensurability properties for finitely generated fully residually free groups which are similar to those of free groups. Finally we prove that for a finitely generated fully residually free group the membership problem is solvable with respect to any finitely generated subgroup.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2002-354-01/S0002-9947-01-02840-9/S0002-9947-01-02840-9.pdf

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