Results 11 to 20 of about 32,521 (269)
Groups acting acylindrically on trees
Journal of Group TheoryAbstract We develop a notion of groups that act acylindrically and non-elementarily on simplicial trees, which we call acylindrically arboreal groups. We then prove a complete classification of when graph products of groups and the fundamental groups of certain hyperbolic 3-manifolds are acylindrically arboreal, and use these ...
Cohen, William D.
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Completely metrisable groups acting on trees [PDF]
The Journal of Symbolic Logic, 2011 AbstractWe consider actions of completely metrisable groups on simplicial trees in the context of the Bass–Serre theory. Our main result characterises continuity of the amplitude function corresponding to a given action. Under fairly mild conditions on a completely metrisable groupG, namely, that the set of elements generating a non-discrete or finite ...
Christian Rosendal
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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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On subgroups of finite complexity in groups acting on trees
Journal of Pure and Applied Algebra, 2005 Suppose that \(G\) is a group acting on a tree \(X\). Given a subgroup \(H\) of \(G\), the author studies the existence of invariants of \(H\), uniquely determined by the action of \(H\) on \(X\). For this he describes some properties of subgroups of finite complexity, an extension of the Schreier index formula for the rank of subgroups of finite index
Sykiotis, Mihalis, Sykiotis, M.
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On commuting elements of groups acting on trees [PDF]
, 1993 Theorem 4.5 in ``Combinatorial Group Theory'' (1976; Zbl 0362.20023) by \textit{W. Magnus, A. Karrass} and \textit{D. Solitar} concerns commuting elements in a free product of groups with amalgamation. The author extends this result to groups acting on trees.
Mahmud, Rasheed M.S.
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BMC Genomics, 2021 Background Trees such as Populus are planted extensively for reforestation and afforestation. However, their successful establishment greatly depends upon ambient environmental conditions and their relative resistance to abiotic and biotic stresses ...
Fang He +10 more
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Pathogens, 2021 The relationship between housekeeping and pathogenicity-related genes and virulence or avirulence towards the primary Malus resistance genes (R) has not been previously studied for Venturia inaequalis fungus, the causal agent of apple scab. In this study,
Monika Michalecka, Joanna Puławska
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Genome-wide analysis of the Catalpa bungei caffeic acid O-methyltransferase (COMT) gene family: identification and expression profiles in normal, tension, and opposite wood [PDF]
PeerJ, 2019 Caffeic acid O-methyltransferase (COMT) is an important protein that participates in lignin synthesis and is associated with the ratio of G-/S-type lignin in plants.
Nan Lu +10 more
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Evolutionary relationships and population genetics of the Afrotropical leaf-nosed bats (Chiroptera, Hipposideridae) [PDF]
ZooKeys, 2020 The Old World leaf-nosed bats (Hipposideridae) are aerial and gleaning insectivores that occur throughout the Paleotropics. Both their taxonomic and phylogenetic histories are confused.
Bruce D. Patterson +6 more
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BMC Plant Biology, 2021 Background RING is one of the largest E3 ubiquitin ligase families and C3H2C3 type is the largest subfamily of RING, which plays an important role in plant growth and development, and growth and responses to biotic and abiotic stresses.
Yihe Yu +8 more
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