Results 81 to 90 of about 83,964 (235)
Pigment Cell &Melanoma Research, Volume 38, Issue 4, July 2025.ABSTRACT The retinal pigment epithelium (RPE) is a specialised monolayer of pigmented epithelial cells in the outer retina. The extent to which RPE pigmentation is related to that of other tissues remains unclear. We utilised RPE thickness measured using optical coherence tomography (OCT) imaging as an indicator of RPE melanin content.
Thomas H Julian +4 more
wiley +1 more source
, 2001 An invariant description of Bianchi Homogeneous (B.H.) 3-spaces is presented, by considering the action of the Automorphism Group on the configuration space of the real, symmetric, positive definite, $3\times 3$ matrices.
Christodoulakis, T. +2 more
core +3 more sources
Parabolic subgroups in characteristics 2 and 3
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley +1 more source
Virtually splitting the map from Aut(G) to Out(G)
, 2013 We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups.
Carette, Mathieu
core +1 more source
Profinite rigidity for free‐by‐cyclic groups with centre
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley +1 more source
MLD Relations of Pisot Substitution Tilings
, 2010 We consider 1-dimensional, unimodular Pisot substitution tilings with three intervals, and discuss conditions under which pairs of such tilings are locally isomorhphic (LI), or mutually locally derivable (MDL).
Arnoux P +5 more
core +1 more source
On profinite rigidity amongst free‐by‐cyclic groups I: The generic case
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley +1 more source
The visual boundary of hyperbolic free-by-cyclic groups
, 2018 Let $\phi$ be an atoroidal outer automorphism of the free group $F_n$. We study the Gromov boundary of the hyperbolic group $G_{\phi} = F_n \rtimes_{\phi} \mathbb{Z}$. We explicitly describe a family of embeddings of the complete bipartite graph $K_{3,3}$
Algom-Kfir, Yael +2 more
core +2 more sources
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley +1 more source