Results 51 to 60 of about 259 (146)
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
The infinite cyclohedron and its automorphism group
, 2014 Cyclohedra are a well-known infinite familiy of finite-dimensional polytopes that can be constructed from centrally symmetric triangulations of even-sided polygons. In this article we introduce an infinite-dimensional analogue and prove that the group of symmetries of our construction is a semidirect product of a degree 2 central extension of Thompson ...
Tenas, Ariadna Fossas, McCammond, Jon
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Finite digraphs with given regular automorphism groups
Periodica Mathematica Hungarica, 1978 We prove that, given an infinite group G there is a directed graph X such that its automorphism group A(X) is the regular representation of G. The proof uses combinatorial set theoretic arguments (Erdös-Rado partition calculus). One of the lemmas asserts that, if |G|>2κ then G contains a subset H of power κ+ satisfying x−1y=y−1z⇒x=z (x, y, z ∈ H ...
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A note on groups with just-infinite automorphism groups
, 2012 An infinite group is said to be just-infinite if all its proper homomorphic images are finite.We investigate the structure of groups whose full automorphism group is just ...
DE GIOVANNI, FRANCESCO, D. Imperatore
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Topological groups, automorphisms of infinite graphs and a theorem of Trofimov
Discrete Mathematics, 1998 This paper gives a short proof of a theorem of Trofimov about locally finite infinite graphs. The theorem is that the subgroup of bounded automorphisms is vertex-transitive if and only if the graph has a system of imprimitivity with finite blocks such that the group induced on the blocks is a free finitely generated abelian group.
openaire +1 more source
Transitivity and homogeneity of orthosets and inner-product spaces over subfields of R. [PDF]
Geom Dedic, 2022 Vetterlein T.
europepmc +1 more source
An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
europepmc +1 more source
Integrable and Chaotic Systems Associated with Fractal Groups. [PDF]
Entropy (Basel), 2021 Grigorchuk R, Samarakoon S.
europepmc +1 more source
Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
europepmc +1 more source
Gradual transitivity in orthogonality spaces of finite rank. [PDF]
Aequ Math, 2021 Vetterlein T.
europepmc +1 more source