Differentiable structure for direct limit groups

1991 ◽  
Vol 23 (2) ◽  
pp. 99-109 ◽  
Author(s):  
Loki Natarajan ◽  
Enriqueta Rodr�guez-Carrington ◽  
Joseph A. Wolf
Keyword(s):  
Direct Limit ◽  
Differentiable Structure ◽  
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 Direct limit groups and the Keesling-Mardešić shape fibration

1980 ◽  
Vol 86 (2) ◽  
pp. 471-476 ◽  
Author(s):  
Kenneth Goodearl ◽  
Thomas Rushing
Keyword(s):  
Direct Limit ◽  
Limit Groups

Vanishing of the first-order cohomology on Olshanski spherical pairs

2021 ◽  
pp. 2150030
Author(s):  
Marouane Rabaoui
Keyword(s):  
Direct Limit ◽  
Unitary Representations ◽  
Limit Groups ◽  
First Order ◽  
Cohomology Space ◽  
Invariant Vectors

In this paper, we study the first-order cohomology space of countable direct limit groups related to Olshanski spherical pairs, relatively to unitary representations which do not have almost invariant vectors. In particular, we prove a variant of Delorme’s vanishing result of the first-order cohomology space for spherical representations of Olshanski spherical pairs.

scholarly journals Direct limit groups do not have small subgroups

2007 ◽  
Vol 154 (6) ◽  
pp. 1126-1133 ◽  
Author(s):  
Helge Glöckner
Keyword(s):  
Direct Limit ◽  
Limit Groups

scholarly journals The Bott–Borel–Weil Theorem for direct limit groups

2001 ◽  
Vol 353 (11) ◽  
pp. 4583-4622 ◽  
Author(s):  
Loki Natarajan ◽  
Enriqueta Rodríguez-Carrington ◽  
Joseph A. Wolf
Keyword(s):  
Direct Limit ◽  
Limit Groups ◽  
Weil Theorem

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
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