Results 31 to 40 of about 356,127 (251)
Groups acting on trees with almost prescribed local action
, 2016 We investigate a family of groups acting on a regular tree, defined by prescribing the local action almost everywhere. We study lattices in these groups and give examples of compactly generated simple groups of finite asymptotic dimension (actually one ...
Boudec, Adrien Le
core +1 more source
Zeta Functions of Discrete Groups Acting on Trees
Journal of Algebra, 2001 This paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree.
Clair, Bryan, Mokhtari-Sharghi, Shahriar
openaire +2 more sources
Highly transitive actions of groups acting on trees [PDF]
Proceedings of the American Mathematical Society, 2015 We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable set. This result is actually true for infinite vertex stabilizers and some more general, finite of infinite, edge stabilizers that we call highly core-free. We study the notion
Fima, Pierre +2 more
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Group C*-Algebras of Locally Compact Groups Acting on Trees
International Mathematics Research Notices, 2023 Abstract It was proved by Samei and Wiersma that for every non-compact, closed subgroup $G$ of the automorphism group $\textrm {Aut}(T)$ of a (semi-)homogeneous tree $T$ acting transitively on the boundary $\partial T$ and every $2 \leq q < p \leq \infty $, the quotient map $C^{\ast }_{L^{p+}}(G) \twoheadrightarrow C^{\ast }_{L^{q+
Heinig, Dennis +2 more
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Molecular Oncology, EarlyView.Ixazomib inhibits proteasome‐mediated degradation of topoisomerase I induced by irinotecan, thereby restoring drug sensitivity and promoting tumor cell death in colorectal cancer. Irinotecan, a topoisomerase I (topoI) inhibitor, is widely used for colorectal cancer, but resistance remains a major clinical challenge.
Yuho Ebata +10 more
wiley +1 more source
Identifying Significant Features in Cancer Methylation Data Using Gene Pathway Segmentation
Cancer Informatics, 2016 In order to provide the most effective therapy for cancer, it is important to be able to diagnose whether a patient's cancer will respond to a proposed treatment.
Zena M. Hira, Duncan F. Gillies
doaj +1 more source
On the intersection of tame subgroups in groups acting on trees
, 2018 Let $G$ be a group acting on a tree $T$ with finite edge stabilizers of bounded order. We provide, in some very interesting cases, upper bounds for the complexity of the intersection $H\cap K$ of two tame subgroups $H$ and $K$ of $G$ in terms of the ...
Lentzos, Konstantinos, Sykiotis, Mihalis
core +1 more source
CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2018 Let$T$be a locally finite tree without vertices of degree $1$. We show that among the closed subgroups of$\text{Aut}(T)$acting with a bounded number of orbits, the Chabauty-closure of the set of topologically simple groups is the set of groups without proper open subgroup of finite index.
Caprace, Pierre-Emmanuel, Radu, Nicolas
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Meta‐analysis fails to show any correlation between protein abundance and ubiquitination changes
FEBS Open Bio, EarlyView.We analyzed over 50 published proteomics datasets to explore the relationship between protein levels and ubiquitination changes across multiple experimental conditions and biological systems. Although ubiquitination is often associated with protein degradation, our analysis shows that changes in ubiquitination do not globally correlate with changes in ...
Nerea Osinalde +3 more
wiley +1 more source
Groups acting on rooted trees and their representations on the boundary
, 2018 We consider groups that act on spherically symmetric rooted trees and study the associated representation of the group on the space of locally constant functions on the boundary of the tree. We introduce and discuss the new notion of locally 2-transitive
Kionke, Steffen
core +1 more source