scholarly journals Homological approximations for profinite and pro-p limit groups

2019 ◽  
Vol 48 (4) ◽  
pp. 1510-1527
Author(s):  
Jhoel S. Gutierrez
Keyword(s):  
Limit Groups

scholarly journals Quantitative residual properties of Γ-limit groups

2014 ◽  
Vol 24 (02) ◽  
pp. 207-231
Author(s):  
Brent B. Solie
Keyword(s):  
Hyperbolic Group ◽  
Finitely Generated ◽  
Limit Group ◽  
Limit Groups ◽  
Residual Properties

Let Γ be a fixed hyperbolic group. The Γ-limit groups of Sela are exactly the finitely generated, fully residually Γ groups. We introduce a new invariant of Γ-limit groups called Γ-discriminating complexity. We further show that the Γ-discriminating complexity of any Γ-limit group is asymptotically dominated by a polynomial.

Limit groups as limits of free groups

2005 ◽  
Vol 146 (1) ◽  
pp. 1-75 ◽  
Author(s):  
Christophe Champetier ◽  
Vincent Guirardel
Keyword(s):  
Free Groups ◽  
Limit Groups

scholarly journals On pro-p analogues of limit groups via extensions of centralizers

2009 ◽  
Vol 267 (1-2) ◽  
pp. 109-128 ◽  
Author(s):  
D. H. Kochloukova ◽  
P. A. Zalesskii
Keyword(s):  
Limit Groups

scholarly journals EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS

2016 ◽  
Vol 58 (3) ◽  
pp. 739-752
Author(s):  
CHRIS CAVE ◽  
DENNIS DREESEN
Keyword(s):  
Finite Index ◽  
Direct Limit ◽  
Free Products ◽  
Limit Groups ◽  
Amalgamated Free Products

AbstractWe give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups Gi ⊂ G whose direct limit is G. Quantifying a result by Gal, we also study the behaviour of the equivariant compression under amalgamated free products G1∗HG2 where H is of finite index in both G1 and G2.

scholarly journals Limit groups and groups acting freely on ℝn–trees

2004 ◽  
Vol 8 (3) ◽  
pp. 1427-1470 ◽  
Author(s):  
Vincent Guirardel
Keyword(s):  
Limit Groups

On subdirect products of type FP m of limit groups

2010 ◽  
Vol 13 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Dessislava H. Kochloukova
Keyword(s):  
Limit Groups ◽  
Subdirect Products

A note on faithful representations of limit groups

2011 ◽  
Vol 3 (2) ◽  
Author(s):  
Benjamin Fine ◽  
Gerhard Rosenberger
Keyword(s):  
Limit Groups

Reflections on some aspects of infinite groups

2014 ◽  
Vol 6 (2) ◽  
Author(s):  
Benjamin Fine ◽  
Anthony Gaglione ◽  
Gerhard Rosenberger ◽  
Dennis Spellman
Keyword(s):  
Finitely Generated ◽  
Infinite Groups ◽  
Limit Groups ◽  
Finitely Presented Groups ◽  
The Relationship ◽  
Finitely Presented

AbstractIn this paper we survey and reflect upon several aspects of the theory of infinite finitely generated and finitely presented groups that were originally motivated by work of Gilbert Baumslag. All but the last of the topics we have chosen are all related in one way or another to the theory of limit groups and the solution of the Tarski problems. These include the residually free and fully residually free properties and the big powers condition; Baumslag doubles and extensions of centralizers; residually-𝒳 groups and extensions of results of Benjamin Baumslag and finally the relationship between CT and CSA groups.

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