Results 21 to 30 of about 69,371,906 (219)
Acylindrical hyperbolicity of groups acting on trees
, 2015 We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and ...
Osin, Denis +3 more
core +1 more source
, 2017 This chapter considers groups acting on trees. It examines which groups act on which spaces and, if a group does act on a space, what it says about the group. These spaces are called trees—that is, connected graphs without cycles.
Dan Margalit
core +1 more source
On base sizes for symmetric groups [PDF]
, 2011 A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base.
Guralnick, Robert M. +7 more
core +2 more sources
The equation x^py^q=z^r and groups that act freely on \Lambda-trees
, 2009 Let $G$ be a finitely generated group that acts freely on a $\Lambda$-tree, where $\Lambda$ is an ordered abelian group, and let $x, y, z$ be elements in $G$.
O Rourke, Shane +3 more
core +1 more source
Scientia Agricola, 2010 Ecological theories of facilitation and nucleation are proposed as a basis for environmental restoration in tropical ecosystems. The main goal of this paper is to present restoration techniques based on the concept of nucleation, in which small nuclei of
Ademir Reis +2 more
doaj +1 more source
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source
A geometric proof of Stallings' Theorem on groups with more than one end
, 2004 Stallings showed that a finitely generated group which has more than one end splits as an amalgamated free product or an HNN extension over a finite subgroup.
Niblo, Graham
core +1 more source
C*-simplicity of HNN extensions and groups acting on trees [PDF]
, 2020 We study non-ascending HNN extensions acting on their Bass– Serre tree and characterize C*-simplicity and the unique trace property by means of the kernel and quasi-kernels of the HNN extension in question.
Ivanov, Nikolay A. +2 more
core +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