Results 11 to 20 of about 1,461 (103)
(Un)distorted stabilisers in the handlebody group
Journal of Topology, Volume 14, Issue 2, Page 460-487, June 2021., 2021 Abstract We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exponentially distorted for large enough genus.
Sebastian Hensel
wiley +1 more source
The intersection graph of graded submodules of a graded module
Open Mathematics, 2022 In this article, we introduce and study the intersection graph of graded submodules of a graded module. Let MM be a left GG-graded RR-module. We define the intersection graph of GG-graded RR-submodules of MM, denoted by Γ(G,R,M)\Gamma \left(G,R,M), to be
Alraqad Tariq
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Quasi‐isometric diversity of marked groups
Journal of Topology, Volume 14, Issue 2, Page 488-503, June 2021., 2021 Abstract We use basic tools of descriptive set theory to prove that a closed set S of marked groups has 2ℵ0 quasi‐isometry classes, provided that every non‐empty open subset of S contains at least two non‐quasi‐isometric groups. It follows that every perfect set of marked groups having a dense subset of finitely presented groups contains 2ℵ0 quasi ...
A. Minasyan, D. Osin, S. Witzel
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Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
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Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 259-273, February 2021., 2021 Abstract We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups.
Matthew B. Day +2 more
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ON CONNECTEDNESS AND COMPLETENESS OF CAYLEY DIGRAPHS OF TRANSFORMATION SEMIGROUPS WITH FIXED SETS
, 2020 Let Fix(X,Y ) be a semigroup of full transformations on a set X in which elements in a nonempty subset Y of X are fixed. In this paper, we construct the Cayley digraphs of Fix(X,Y ) and study some structural properties of such digraphs such as the ...
Nuttawoot Nupo, Chollawat Pookpienlert
semanticscholar +1 more source
Congruences and Hoehnke Radicals on Graphs
Discussiones Mathematicae Graph Theory, 2020 We motivate, introduce, and study radicals on classes of graphs. This concept, and the theory which is developed, imitates the original notion of a Hoehnke radical in universal algebra using congruences.
Broere Izak +2 more
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The structure fault tolerance of burnt pancake networks
Open Mathematics, 2023 One of the symbolic parameters to measure the fault tolerance of a network is its connectivity. The HH-structure connectivity and HH-substructure connectivity extend the classical connectivity and are more practical.
Ge Huifen, Ye Chengfu, Zhang Shumin
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The asymptotic geometry of right-angled Artin groups, I [PDF]
, 2007 We study atomic right-angled Artin groups ‐ those whose defining graph has no cycles of length 4, and no separating vertices, separating edges, or separating vertex stars.
M. Bestvina, B. Kleiner, M. Sageev
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On cospectrality of gain graphs
Special Matrices, 2022 We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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