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A study of sex and age related heterogeneity in thyroid-gonadal axis interactions in a multi-center cohort of individuals with normal thyroid function. [PDF]

Front Endocrinol (Lausanne)
Yang L, Hu H, Li Q, Yang J, Liu H, Chen M.   +5 more
europepmc   +1 more source

Homogeneity in relatively free groups

Archive for Mathematical Logic, 2012
The article contributes to the study of free groups, a topic which has been of the greatest interest to model theorists since Sela's work bringing together geometric group theory and model theory. The main concept of the article, homogeneity, is borrowed from model theory; it describes the possibility of extending so-called ``elementary'' (that is ...
Belegradek, Oleg
exaly   +3 more sources

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On the groups of unitriangular automorphisms of relatively free groups

Siberian Mathematical Journal, 2012
Let \(F_n\) be the free group of rank \(n\) and \(X_n=\{x_1,x_2,\dots,x_n\}\) a basis of \(F_n\).
V A Roman´Kov, Roman´Kov V A
exaly   +2 more sources

The automorphisms of endomorphism semigroups of relatively free groups

International Journal of Algebra and Computation, 2018
The question of describing the automorphisms of [Formula: see text] for a free algebra [Formula: see text] in a certain variety was considered by different authors since 2002. In this paper, we consider this question for the class of all relatively free groups having only cyclic centralizers of non-trivial elements.
V. S. Atabekyan, H. T. Aslanyan
openaire   +2 more sources

The Small Index Property for Free Groups and Relatively Free Groups

Journal of the London Mathematical Society, 1997
Let \(G\) be a countable group with automorphism group \(\Gamma\). If \(X\) is a finite subset of \(G\) then the pointwise stabiliser \(\Gamma_{(X)}\) has countable index in \(\Gamma\). If every subgroup of \(\Gamma\) with index less than the cardinality of the continuum contains some \(\Gamma_{(X)}\) then \(G\) is said to have the small index property.
Bryant, Roger M., Evans, David M.
openaire   +3 more sources

Automorphism groups of relatively free groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1999
As the title indicates this paper deals with the automorphisms of relatively free groups. If \(\mathfrak V\) is a variety of groups and \({\mathfrak V}(F_n)\) the verbal subgroup of \(F_n\) corresponding to \(\mathfrak V\), then \(G_n=F_n/{\mathfrak V}(F_n)\) is the relatively free group of rank \(n\) of the variety.
Bryant, R. M., Roman'kov, V. A.
openaire   +3 more sources