Results 51 to 60 of about 21,501,912 (352)
Homogeneity in the free group [PDF]
Duke Mathematical Journal, 2012 26 ...
Perin, Chloé, Sklinos, Rizos
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Verbally closed subgroups of free groups [PDF]
, 2012 We prove that every verbally closed subgroup of a free group $F$ of a finite rank is a retract of $F.$
A. Myasnikov, V. Roman’kov
semanticscholar +1 more source
Ordering Free Groups and Validity in Lattice-Ordered Groups
, 2019 An inductive characterization is given of the subsets of a group that extend to the positive cone of a right order on the group. This characterization is used to relate validity of equations in lattice-ordered groups (l-groups) to subsets of free groups ...
Metcalfe, George, Colacito, Almudena
core +1 more source
Product-free sets in the free group
Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications, 2023 We prove that product-free sets of the free group over a finite alphabet have maximum density $1/2$ with respect to the natural measure that assigns total weight one to each set of irreducible words of a given length. This confirms a conjecture of Leader, Letzter, Narayanan and Walters. In more general terms, we actually prove that strongly $k$-product-
Ortega Sánchez Colomer, Miquel +2 more
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Unique Cartan decomposition for II1 factors arising from arbitrary actions of free groups [PDF]
, 2011 We prove that for any free ergodic probability measure-preserving action $${\mathbb{F}_n \curvearrowright (X, \mu)}$$Fn↷(X,μ) of a free group on n generators $${\mathbb{F}_n, 2\leq n \leq \infty}$$Fn,2≤n≤∞, the associated group measure space II1 factor $$
Sorin Popa, S. Vaes
semanticscholar +1 more source
Commutators and Squares in Free Nilpotent Groups
International Journal of Mathematics and Mathematical Sciences, 2009 In a free group no nontrivial commutator is a square. And in the free group F2=F(x1,x2) freely generated by x1,x2 the commutator [x1,x2] is never the product of two squares in F2, although it is always the product of three squares.
Mehri Akhavan-Malayeri
doaj +1 more source
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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On finite groups with square-free conjugacy class sizes [PDF]
International Journal of Group Theory, 2018 We report on finite groups having square-free conjugacy class sizes, in particular in the framework of factorised groups.
Maria-Jose Felipe +2 more
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One-ended subgroups of graphs of free groups with cyclic edge groups [PDF]
, 2011 Consider a one-ended word-hyperbolic group. If it is the fundamental group of a graph of free groups with cyclic edge groups then either it is the fundamental group of a surface or it contains a finitely generated one-ended subgroup of infinite index. As
H. Wilton
semanticscholar +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Maintenance hemodialysis (MHD) patients frequently suffer from frailty, characterized by reduced physical function and poor prognosis. Myokines, such as myonectin, secreted by muscle, are emerging regulators of systemic health. This study investigated the relationship between serum myonectin, adipokines (adiponectin, omentin), and ...
Kenichi Kono +7 more
wiley +1 more source