Results 11 to 20 of about 25,976,263 (323)
Non-∀-homogeneity in free groups
Bulletin of Mathematical Sciences, 2021 We prove that non-abelian free groups of finite rank at least 3 or of countable rank are not ∀-homogeneous. We answer three open questions from Kharlampovich, Myasnikov, and Sklinos regarding whether free groups, finitely generated elementary free groups,
Olga Kharlampovich, Christopher Natoli
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The power graph of a torsion-free group [PDF]
, 2017 The power graphP(G) of a group G is the graph whose vertex set is G, with x and y joined if one is a power of the other; the directed power graph$$\overrightarrow{P}(G)$$P→(G) has the same vertex set, with an arc from x to y if y is a power of x.
P. Cameron, Horacio Guerra, Š. Jurina
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The co‐surface graph and the geometry of hyperbolic free group extensions [PDF]
, 2016 We introduce the co‐surface graph CS of a finitely generated free group F and use it to study the geometry of hyperbolic group extensions of F . Among other things, we show that the Gromov boundary of the co‐surface graph is equivariantly homeomorphic to
S. Dowdall, Samuel J. Taylor
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The free splitting complex of a free group, II: Loxodromic outer automorphisms [PDF]
Transactions of the American Mathematical Society, 2014 We study the loxodromic elements for the action of O u t ( F n ) \mathsf {Out}(F_n) on the free splitting complex of the rank n n free group F n F_n . Each outer automorphism is either loxodromic or has
M. Handel, L. Mosher
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Entropy dimension of shifts of finite type on free groups
AIMS Mathematics, 2020 This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy ...
Jung-Chao Ban, Chih-Hung Chang
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Journal of Fungi, 2021 Severe cases of coronavirus disease 2019 (COVID-19) managed in the intensive care unit are prone to complications, including secondary infections with opportunistic fungal pathogens.
Obinna T. Ezeokoli +2 more
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Energies, 2023 South African universities boast a remarkable solar photovoltaic (PV) resource as a primary renewable energy component. Due to high peak demand tariffs and inherent prominent heating and cooling loads, fast and granular demand response programs are well ...
Stephanus Erasmus +2 more
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Suicide epidemic in Malawi: what can we do?
The Pan African Medical Journal, 2021 Suicide continues to be a global health concern, affecting all continents. Although some studies have associated it with mental disorders such as severe depression, research also shows that a significant number of cases occur due to emerging life ...
Gift Treighcy Banda +3 more
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Mapping tori of free group automorphisms, and the Bieri–Neumann–Strebel invariant of graphs of groups [PDF]
, 2014 Let G be the mapping torus of a polynomially growing automorphism of a finitely generated free group. We determine which epimorphisms from G to ℤ have finitely generated kernel, and we compute the rank of the kernel. We thus describe all possible ways of
Christopher H. Cashen, G. Levitt
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Tobacco Induced Diseases, 2018 Introduction Ege University is a pioneering university at Ege region with its 70 000 students and approximately 3000 academic staff. Tobacco control policies, parallel to the current regulations in the country, are an important issue for Ege University ...
Isil Ergin +15 more
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