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Systematic Reviews, 2017 Background The use of fat grafting as a reconstructive surgical option is becoming much more common. Adipose-derived stem cells found in fat grafts are believed to facilitate wound healing via differentiation into fibroblasts and keratinocytes and the ...
Oliver J. Smith +6 more
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Ecotoxicology and Environmental Safety, 2023 Dietary restriction (DR) and dietary deprivation (DD) have been shown to be significantly beneficial in terms of lifespan gains and stress alleviation in invertebrate and vertebrate species.
Sipho Sithole +3 more
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Big free groups are almost free [PDF]
International Journal of Algebra and Computation, 2015 It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from ...
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Transactions of the American Mathematical Society, 1986 In this paper we introduce the class of torsion free k k -groups and the notion of a knice subgroup. Torsion free k k -groups form a class of groups more extensive than the separable groups of Baer, but they enjoy many of the same closure properties.
Hill, Paul, Megibben, Charles
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Journal of Harbin University of Science and Technology, 2019 In order to solve the problem of whether the matrices generated by two unipotent matrices are unipotency, a new combinatorial property of generators of free groups is obtained by using the matrix logarithmic tool。From the point of the combination of ...
YANG Xin-song, MA Chang
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Topology and its Applications, 2023 17 pages, 2 ...
Jeremy Brazas, Sarah Emery
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Health & Justice, 2018 Background Substance misuse, including problematic drug and alcohol use, are significant issues in society that can have multiple detrimental effects. Many people access support for their substance misuse during prison sentences, due to the associations ...
Sarah Elison-Davies +7 more
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On the Geometry of the Automorphism Group of a Free Group
Bulletin of the London Mathematical Society, 1995 The groups \(\Aut(F_3)\) and \(\text{Out}(F_3)\) satisfy strictly exponential isoperimetric inequalities; in particular, they are not automatic. For \(n\geq 3\), \(\Aut(F_n)\) and \(\text{Out}(F_n)\) do not admit bounded bicombings of sub-exponential length, hence they cannot act properly and cocompactly by isometries of any simply-connected space of ...
Bridson, M, Vogtmann, K
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Nagoya Mathematical Journal, 1954 The purpose of this note is to prove the following proposition, which is made use of in the preceding paper by Mr. M. Kuranishi in this number. First we shall explain the notations. Let be a word with respect to two letters, and let G be a free group generated by two free generators x and y.
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Homogeneity in the free group [PDF]
Duke Mathematical Journal, 2012 26 ...
Perin, Chloé, Sklinos, Rizos
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