Results 41 to 50 of about 10,652 (93)
Ampleness in the free group [PDF]
, 2012 We show that the theory of the free group -- and more generally the theory of any torsion-free hyperbolic group -- is $n$-ample for any $n\geq 1$.
Houcine, Abderezak Ould, Tent, Katrin
core +3 more sources
Equivariant birational types and derived categories
Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning +2 more
wiley +1 more source
Isometries of Lipschitz‐free Banach spaces
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz‐free spaces that includes, for example, Lipschitz‐free spaces over any graph. We define the notion of a Lipschitz‐free rigid metric space whose Lipschitz‐free space only admits surjective linear isometries coming from surjective dilations (i.e ...
Marek Cúth +2 more
wiley +1 more source
The Borel complexity of the space of left‐orderings, low‐dimensional topology, and dynamics
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We develop new tools to analyze the complexity of the conjugacy equivalence relation Elo(G)$E_\mathsf {lo}(G)$, whenever G$G$ is a left‐orderable group. Our methods are used to demonstrate nonsmoothness of Elo(G)$E_\mathsf {lo}(G)$ for certain groups G$G$ of dynamical origin, such as certain amalgams constructed from Thompson's group F$F$.
Filippo Calderoni, Adam Clay
wiley +1 more source
On the length of nonsolutions to equations with constants in some linear groups
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2338-2349, July 2024.Abstract We show that for any finite‐rank–free group Γ$\Gamma$, any word‐equation in one variable of length n$n$ with constants in Γ$\Gamma$ fails to be satisfied by some element of Γ$\Gamma$ of word‐length O(log(n))$O(\log (n))$. By a result of the first author, this logarithmic bound cannot be improved upon for any finitely generated group Γ$\Gamma$.
Henry Bradford +2 more
wiley +1 more source
Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
europepmc +1 more source
Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
europepmc +1 more source
Bounds for the Diameters of Orbital Graphs of Affine Groups. [PDF]
Vietnam J Math, 2023 Maróti A, Skresanov SV.
europepmc +1 more source
Four-point functions of gravitons and conserved currents of CFT in momentum space: testing the nonlocal action with the TTJJ. [PDF]
Eur Phys J C Part Fields, 2023 Corianò C, Maglio MM, Tommasi R.
europepmc +1 more source
Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
europepmc +1 more source