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The role of menopause and hyperlipidemia as risk factors for calcific tendinitis of the shoulder: insights from a Taiwan Biobank study. [PDF]

Menopause
Lin CC, Nfor ON, Huang HC, Hsu SY, Liaw YP.   +4 more
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Structure of Hyperbolic Unitary Groups I: Elementary Subgroups

Algebra Colloquium, 2000
This paper is the first one in a series of papers concerning the structure of hyperbolic unitary groups over form rings and their subgroups. The authors recall the foundations of the theory and study the elementary subgroup of the hyperbolic unitary group over a form ring.
Nikolai Vavilov, Anthony Bak
exaly   +4 more sources

On elementary theories of lattices of subgroups

Algebra and Logic, 1970
exaly   +4 more sources

Normality for elementary subgroup functors

Mathematical Proceedings of the Cambridge Philosophical Society, 1995
AbstractWe define a notion of group functor G on categories of graded modules, which unifies previous concepts of a group functor G possessing a notion of elementary subfunctor E. We show under a general condition which is easily checked in practice that the elementary subgroup E(M) of G(M) is normal for all quasi-weak Noetherian objects M in the ...
Bak, Anthony, Vavilov, N.
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Subgroups normalized by the elementary Levi subgroup

Journal of Mathematical Sciences, 2006
Subgroups of the unipotent radical of a maximal parabolic subgroup of a Chevalley group over a field K, which are normalized by the commutator subgroup of the Levi subgroup, are described. It is shown that in the typical case, such subgroups are in one-to-one correspondence with the closed subsets of {1, 2, ..., n} for a natural n.
V. G. Kazakevich, A. K. Stavrova
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Maximal elementary abelian subgroups of rank 2

Journal of Group Theory, 2007
Jon Carlson
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Varieties and Elementary Abelian Subgroups

2003
The aim of this chapter is to develop and prove a generalized version of Quillen’s Dimension Theorem [122, 125]. Our main theorem says that every kG-module is a direct summand of a module that has a filtration in which the factors are induced from elementary abelian subgroups. Quillen’s theorem is one of the several consequences that we explore.
Jon F. Carlson, Lisa Townsley, Luis Valeri-Elizondo, Mucheng Zhang   +3 more
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Elementary TI-subgroups of finite groups

Mathematical Notes of the Academy of Sciences of the USSR, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Normality of the Elementary Subgroup in Sp(2, A)

Journal of Mathematical Sciences, 2017
Let A be an associative ring with identity and involution, and let e1, . . . , en be a full system of Hermitian idempotents in A such that every ei generates A as a two-sided ideal. It is proved that the elementary subgroup is normal in Sp(2, A) if n ≥ 3 and A satisfies an analog of the local stable rank condition. Bibliography: 16 titles.
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Normality in Elementary Subgroups of Chevalley Groups Over Rings

Canadian Journal of Mathematics, 1976
In [6] we have constructed certain normal subgroups G7 of the elementary subgroup GR of the Chevalley group G(L, R) over R corresponding to a finite dimensional simple Lie algebra L over the complex field, where R is a commutative ring with identity.
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