On the automorphism groups of relatively free groups of infinite rank: a survey
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
V.A. Roman’kov
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A relatively free topological group that is not varietal free [PDF]
Colloquium Mathematicum, 1998 A class of topological groups is said to be a variety provided it is closed under taking topological products, subgroups and factor groups. Answering a question posed by \textit{S. Morris} in [Colloq. Math. 46, 147-165 (1982; Zbl 0501.22002)] the authors construct a topological group possessing the following properties: i) \(G\) contains a subspace \(X\
Pestov, Vladimir G. +1 more
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Some properties of certain relatively free groups [PDF]
Proceedings of the American Mathematical Society, 1975 It is shown that the groups F / [
T. C. Hurley
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Regulating surimi particle size promotes ice-crystal alignment and anisotropic lamellar structuring in vacuum-compressed surimi-based products: Protein conformation and microstructural insights [PDF]
Food Chemistry: XThis study aims to investigate the influence of surimi particle size on anisotropic lamellar structure formation in restructured fish products and the mechanisms underlying the evolution of associated microstructures and protein conformations.
Zhiwen Shen +3 more
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Relative hyperbolicity for automorphisms of free products and free groups [PDF]
Journal of Topology and Analysis, 2020 We prove that for a free product G with free factor system [Formula: see text], any automorphism [Formula: see text] preserving [Formula: see text], atoroidal (in a sense relative to [Formula: see text]) and none of whose power send two different conjugates of subgroups in [Formula: see text] on conjugates of themselves by the same element, gives rise ...
Dahmani, François, Li, Ruoyu
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Small conjugacy classes in the automorphism groups of relatively free groups
Journal of Pure and Applied Algebra, 2011 Let F be an infinitely generated free group and R a fully invariant subgroup of F such that (a) R is contained in the commutator subgroup F' of F and (b) the quotient group F/R is residually torsion-free nilpotent. Then the automorphism group Aut(F/R') of the group F/R' is complete. In particular, the automorphism group of any infinitely generated free
Vladimir Tolstykh, Tolstykh, Vladimir
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Effect of acute and chronic liver diseases on the thyroid function in children
BMC Pediatrics, 2021 Background Thyroid hormones modulate hepatic function through regulation of basal metabolic rate in addition; the liver metabolizes the thyroid hormones and regulates their endocrine effects.
Gihan M. Bebars +3 more
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Surgical treatment of primary solitary fibrous tumors involving the pelvic ring. [PDF]
PLoS ONE, 2018 The surgical treatment of primary solitary fibrous tumors (SFT) involving the pelvic ring has not been reported previously. In this study, we aimed to evaluate the efficacy of surgical treatment for this disease.
Yifei Wang +4 more
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Torsion in Certain Relatively Free Groups
Bulletin of the London Mathematical Society, 1995 It became a common place in a couple of recent decades that authors prove the existence of elements of finite order in the relatively free groups of certain varieties given by commutator identities. In this paper, on the contrary, the authors prove that in the varieties given by laws of the form \([x_1, \dots, x_m], [x_{m+1}, \dots, x_{m+n} ]\equiv 1\)
Tasic, V, Vaughanlee, M
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Relative second bounded cohomology of free groups [PDF]
Geometriae Dedicata, 2014 14 pages.
Pagliantini, Cristina, Rolli, Pascal
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