Results 21 to 30 of about 21,501,912 (352)
Applied General Topology, 2015 Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove that the group FP(X) is an Alexandroff
Ali Sayed Elfard
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Annotation-free delineation of prokaryotic homology groups.
PLoS Computational Biology, 2022 Phylogenomic studies of prokaryotic taxa often assume conserved marker genes are homologous across their length. However, processes such as horizontal gene transfer or gene duplication and loss may disrupt this homology by recombining only parts of genes,
Yongze Yin, Huw A Ogilvie, Luay Nakhleh
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Hyperbolic extensions of free groups [PDF]
, 2014 Given a finitely generated subgroup $\Gamma \le \mathrm{Out}(\mathbb{F})$ of the outer automorphism group of the rank $r$ free group $\mathbb{F} = F_r$, there is a corresponding free group extension $1 \to \mathbb{F} \to E_{\Gamma} \to \Gamma \to 1$.
S. Dowdall, Samuel J. Taylor
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Operator algebras, free groups and other groups
Astérisque, 2018 The operator algebras associated to non commutative free groups have received a lot of attention, by F.J. Murray and J. von Neumann and by later workers.
P. Harpe
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Profinite rigidity and free groups
, 2023 We discuss the extent to which groups such as free groups are determined by their finite ...
Bridson, Martin
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Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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On Sum-Free Subsets of Abelian Groups
Axioms, 2023 In this paper, we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind and is hence not overly technical.
Renato Cordeiro de Amorim
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Journal of Knot Theory and Its Ramifications, 2010 Free knots are a simplification of virtual knots obtained by forgetting arrow/sign information at classical crossings. First non-trivial examples of free knots were constructed recently by the second named author. By using parity considerations, we construct invariants of free knots valued in certain groups.
Manturov V.O., Manturov O.V.
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Algorithmic problems for free-abelian times free groups [PDF]
, 2013 We study direct products of free-abelian and free groups with special emphasis on algorithmic problems. After giving natural extensions of standard notions into that family, we find an explicit expression for an arbitrary endomorphism of Zm×Fn.
Jordi Delgado, E. Ventura
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FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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