Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Right-angled artin groups"”.
-
The Word Problem for the Automorphism Groups of Right-Angled Artin Groups is in P
… any given automorphism <em>f</em> of any given right-angled Artin group <em>G</em> and determines whether or not <em>f</em> is the identity automorphism, thereby solving the word problem for the automorphism groups of right-angled Artin groups. We do this by solving the compressed word problem …
-
Separability within alternating groups and randomness
… promotes known residual properties of free groups, surface groups, right angled Coxeter groups and right angled Artin groups to the situation where the quotient is only allowed to be an alternating group. The proofs follow two related threads of ideas. The first thread leads to `alternating' …
-
On State Complexes and Special Cube Complexes
… topological spaces, and have fundamental groups that are subgroups of right-angled Artin groups. In addition, we find that the property state is preserved when taking finite products, as is true in the case of special. Unlike special, however, state is not inherited by convex subcomplexes …
-
Boundaries and hierarchically hyperbolic spaces
… hyperbolic spaces, namely maps from right-angled Artin groups to mapping class groups. We then answer another question of Durham, Hagen, and Sisto, proving that a Teichmuller geodesic ray does not necessarily converge to a unique point in the hierarchically hyperbolic space boundary …
-
Topological Complexity of Configuration Spaces
… complexity (and other invariants) of random right-angled Artin groups, i.e. the stochastic behaviour of the topological complexity of Eilenberg-MacLane spaces of type K(G, 1), where G is a right-angled Artin group associated to a random graph.
-
Computations and lower bounds for scl and the relative Gromov seminorm
… of stable commutator length, an invariant of groups that measures homological complexity and is connected to several notions of negative curvature in geometric group theory. A first aspect of this is to give exact computations, motivated by questions of rationality. A particular case of …
-
The Asymptotic Cone of Teichmuller Space: Thickness and Divergence
… the same lines as similar characterizations for right angled Artin groups by Behrstock-Charney and for mapping class groups by Behrstock-Kleiner-Minsky-Mosher. As a corollary of the characterization, we complete the thickness classification of Teichmüller spaces for all surfaces of finite type. …
-
Generalizations of quasiconvexity for finitely generated groups
… embedded in G. However, beyond word-hyperbolic groups, the notion of quasiconvexity is not as useful. For a finitely generated group, there are two recent generalizations of the notion of a quasiconvex subgroup of a word-hyperbolic group, a “stable” subgroup and a “Morse” subgroup. Durham and …