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Burnside Groups and Groups Acting on Rooted Trees [PDF]
Advances in Group Theory and ApplicationsBranch groups stem from one of the most influential problems in group theory: The famous Burnside Problem, which arose in 1902 and asks if a finitely generated torsion group, i.e. in which every element has finite order, can be itself infinite.
Anitha Thillaisundaram
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Profinite completions of some groups acting on trees
Journal of Algebra, 2007 We investigate the profinite completions of a certain family of groups acting on trees. It turns out that for some of the groups considered, the completions coincide with the closures of the groups in the full group of tree automorphisms. However, we introduce an infinite series of groups for which that is not so, and describe the kernels of natural ...
Ekaterina Pervova
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Ramification structures for quotients of multi-EGS groups [PDF]
International Journal of Group Theory, 2023 Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure.
Elena Di Domenico +2 more
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Genome-wide identification and characterization of NHL gene family in response to alkaline stress, ABA and MEJA treatments in wild soybean (Glycine soja) [PDF]
PeerJ, 2022 Background NDR1/HIN1-like (NHL) family genes are known to be involved in pathogen induced plant responses to biotic stress. Even though the NHL family genes have been identified and characterized in plant defense responses in some plants, the roles of ...
Xu Zhang +8 more
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On Asymptotic Dimension of Groups Acting on Trees [PDF]
Geometriae Dedicata, 2004 We prove the following theorem: Let $π$ be the fundamental group of a finite graph of groups with finitely generated vertex groups $G_v$ having asdim $G_v\le n$ for all vertices $v$. Then asdim$π\le n+1$. This gives the best possible estimate for the asymptotic dimension of an HNN extension and the amalgamated product.
Bell, G., Dranishnikov, A.
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On the Positive Theory of Groups Acting on Trees [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we study the positive theory of groups acting on trees and show that under the presence of weak small cancellation elements, the positive theory of the group is trivial, that is, coincides with the positive theory of a non-abelian free group.
Casals-Ruiz, Montserrat +2 more
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A characterization of high transitivity for groups acting on trees
Discrete Analysis, 2022 A characterization of high transitivity for groups acting on trees, Discrete Analysis 2022:8, 63 pp. Consider the group of all permutations of a countable set $X$ that leave all but a finite number of points fixed.
Pierre Fima +3 more
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Generic groups acting on regular trees [PDF]
Transactions of the American Mathematical Society, 2009 Let T T be a k
Abért, Miklós, Glasner, Yair
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BMC Biology, 2021 Background Glossina species (tsetse flies), the sole vectors of African trypanosomes, maintained along their long evolutionary history a unique reproductive strategy, adenotrophic viviparity.
Grazia Savini +10 more
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Frontiers in Microbiology, 2020 In the last few years, the alarming spread of Hymenoscyphus fraxineus, the causal agent of ash dieback, has resulted in a substantial threat to native ash stands in central and northern Europe.
Kristina Ulrich +4 more
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