[PDF][PDF] Poc sets, median algebras and group actions
M Roller - arXiv preprint arXiv:1607.07747, 2016 - arxiv.org
A Leitmotiv of geometric group theory is the study of group actions on geometric structures,
from which one can draw conclusions about both the group and the geometry. A typical and …
from which one can draw conclusions about both the group and the geometry. A typical and …
Analogues of Cayley graphs for topological groups
We define for a compactly generated totally disconnected locally compact group a graph,
called a rough Cayley graph, that is a quasi-isometry invariant of the group. This graph …
called a rough Cayley graph, that is a quasi-isometry invariant of the group. This graph …
[图书][B] Regular neighbourhoods and canonical decompositions for groups
P Scott, GA Swarup - 2003 - numdam.org
We find canonical decompositions for (almost) finitely presented groups which essentially
specialise to the classical JSJ-decomposition when restricted to the fundamental groups of …
specialise to the classical JSJ-decomposition when restricted to the fundamental groups of …
Splittings of groups and intersection numbers
P Scott, GA Swarup - Geometry & Topology, 2000 - msp.org
Splittings of groups and intersection numbers Page 1 Geometry & Topology GGG G G G G
GGGG G G G G T TT T T T T TTTT T T T T Volume 4 (2000) 179–218 Published: 9 August …
GGGG G G G G T TT T T T T TTTT T T T T Volume 4 (2000) 179–218 Published: 9 August …
A geometric proof of Stallings' theorem on groups with more than one end
GA Niblo - Geometriae Dedicata, 2004 - Springer
Stallings showed that a finitely generated group which has more than one end splits as an
amalgamated free product or an HNN extension over a finite subgroup. Dunwoody gave a …
amalgamated free product or an HNN extension over a finite subgroup. Dunwoody gave a …
The geometry of groups containing almost normal subgroups
A Margolis - Geometry & Topology, 2021 - msp.org
Abstract A subgroup H≤ G is said to be almost normal if every conjugate of H is
commensurable to H. If H is almost normal, there is a well-defined quotient space G∕ H. We …
commensurable to H. If H is almost normal, there is a well-defined quotient space G∕ H. We …
[PDF][PDF] The geometry of abstract groups and their splittings
CTC Wall - Rev. Mat. Complut, 2003 - Citeseer
After a preliminary chapter to give some background and fix notations, I follow a roughly
historical approach. Free products with amalgamation were first introduced by Hanna …
historical approach. Free products with amalgamation were first introduced by Hanna …
Panel collapse and its applications
MF Hagen, NWM Touikan - Groups Geom. Dyn., 2019 - ems.press
We describe a procedure called panel collapse for replacing a CAT. 0/cube complex‰ by a
“lower complexity” CAT. 0/cube complex‰ whenever‰ contains a codimension-2 …
“lower complexity” CAT. 0/cube complex‰ whenever‰ contains a codimension-2 …
The singularity obstruction for group splittings
GA Niblo - Topology and its Applications, 2002 - Elsevier
We study an obstruction to splitting a finitely generated group G as an amalgamated free
product or HNN extension over a given subgroup H and show that when the obstruction is …
product or HNN extension over a given subgroup H and show that when the obstruction is …
Graphs, permutations and topological groups
RG Moller - arXiv preprint arXiv:1008.3062, 2010 - arxiv.org
Various connections between the theory of permutation groups and the theory of topological
groups are described. These connections are applied in permutation group theory and in the …
groups are described. These connections are applied in permutation group theory and in the …