Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Ross Geoghegan"'
Autor:
Ross Geoghegan, Robert Bieri
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 171:133-163
The Σ-invariants of Bieri–Neumann–Strebel and Bieri–Renz involve an action of a discrete group G on a geometrically suitable space M. In the early versions, M was always a finite-dimensional Euclidean space on which G acted by translations. A
Publikováno v:
Canadian Journal of Mathematics. 72:1275-1303
A finitely presented 1-ended group $G$ has semistable fundamental group at infinity if $G$ acts geometrically on a simply connected and locally compact ANR $Y$ having the property that any two proper rays in $Y$ are properly homotopic. This property
Autor:
Ross Geoghegan, Robert Bieri
Publikováno v:
Proceedings of the London Mathematical Society. 112:1059-1102
The observation that the 0-dimensional Geometric Invariant $\Sigma ^{0}(G;A)$ of Bieri-Neumann-Strebel-Renz can be interpreted as a horospherical limit set opens a direct trail from Poincar\'e's limit set $\Lambda (\Gamma)$ of a discrete group $\Gamm
Autor:
Marco Varisco, Ross Geoghegan
Using a theorem of Luck-Reich-Rognes-Varisco, we show that the Whitehead group of Thompson's group T is infinitely generated, even when tensored with the rationals. To this end we describe the structure of the centralizers and normalizers of the fini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d80e7a62b84eb7cf2cbb730cc440db5
https://doi.org/10.1017/9781316771327.005
https://doi.org/10.1017/9781316771327.005
Publikováno v:
Algebr. Geom. Topol. 20, no. 2 (2020), 601-642
Wright showed that, if a 1-ended simply connected locally compact ANR Y with pro-monomorphic fundamental group at infinity admits a proper Z-action, then that fundamental group at infinity can be represented by an inverse sequence of finitely generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d33e135ec09a70c792e7907c5ce72a1
http://arxiv.org/abs/1611.01807
http://arxiv.org/abs/1611.01807
Publikováno v:
Groups, Geometry, and Dynamics. :263-273
Thompson's group F is the group of all increasing dyadic PL homeomorphisms of the closed unit interval. We compute † m .F / and † m .F I Z/, the homotopical and homological Bieri-Neumann-Strebel-Renz invariants of F , and show that † m .F / D
Autor:
Ross Geoghegan, Robert Bieri
Publikováno v:
Groups, Geometry, and Dynamics. :251-261
The Product Conjecture for the homological Bieri-Neumann-Strebel-Renz invariants is proved over a field. Under certain hypotheses the Product Conjecture is shown to also hold over Z, even though D. Schuetz has recently shown that the Conjecture is fa
Publikováno v:
Uspekhi Matematicheskikh Nauk. 65:145-176
Publikováno v:
Russian Mathematical Surveys. 65:143-172
In this article we describe relations of the topology of closed 1-forms to the group theoretic invariants of Bieri-Neumann-Strebel-Renz. Starting with a survey, we extend these Sigma invariants to finite CW- complexes and show that many properties of
Autor:
Ross Geoghegan, Fernando Guzmán
Publikováno v:
Contemporary Mathematics. :113-135