On n-dependent groups and fields
First, an example of a 2-dependent group without a minimal subgroup of bounded index is given. Second, all infinite n-dependent fields are shown to be Artin-Schreier closed.
Hempel, Nadja
core +1 more source
Some topological properties of residually Černikov groups [PDF]
In this paper we shall indicate how to generalise the concept of a cofinite group (see [7]). We recall that any residually finite group can be made into a topological group by taking as a basis of neighbourhoods of the identity precisely the normal subgroups of finite index.
openaire +2 more sources
Parallel Anisotropic Unstructured Grid Adaptation [PDF]
Computational Fluid Dynamics (CFD) has become critical to the design and analysis of aerospace vehicles. Parallel grid adaptation that resolves multiple scales with anisotropy is identified as one of the challenges in the CFD Vision 2030 Study to ...
Chrisochoides, Nikos +4 more
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Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank)
Abstract Our main result is that a locally graded group whose proper subgroups are Baer-by-Chernikov is itself Baer-by-Chernikov. We prove also that a locally (soluble-by-finite) group whose proper subgroups are Baer-by-(finite rank) is itself Baer-by-(finite rank) if either it is locally of finite rank but not locally finite or it has ...
Badis, Abdelhafid, Trabelsi, Nadir
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Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation
A subgroup \(H\) of a group \(G\) is called permutable (or quasinormal) if \(HK=KH\) for all subgroups \(K\) of \(G\). A group \(G\) is called a PT-group if permutability is a transitive relation. A subgroup \(H\) is called S-permutable if \(HS=SH\) for every Sylow \(p\)-subgroup \(S\) of \(G\) and for each prime \(p\).
Muñoz-Escolano, J.M. +2 more
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Mekler's construction and generalized stability
Mekler's construction gives an interpretation of any structure in a finite relational language in a group (nilpotent of class $2$ and exponent $p>2$, but not finitely generated in general).
Chernikov, Artem, Hempel, Nadja
core
Finite groups and Lie rings with an automorphism of order $2^n$
Suppose that a finite group $G$ admits an automorphism $\varphi $ of order $2^n$ such that the fixed-point subgroup $C_G(\varphi ^{2^{n-1}})$ of the involution $\varphi ^{2^{n-1}}$ is nilpotent of class $c$.
Khukhro, E. I. +2 more
core
Soloxolone Methyl Reduces the Stimulatory Effect of Leptin on the Aggressive Phenotype of Murine Neuro2a Neuroblastoma Cells via the MAPK/ERK1/2 Pathway. [PDF]
Odarenko KV +5 more
europepmc +1 more source
New l-Rhamnose-Binding Lectin from the Bivalve Glycymeris yessoensis: Purification, Partial Structural Characterization and Antibacterial Activity. [PDF]
Mizgina TO +8 more
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Tension-free thyroidectomy (medial thyroidectomy)-a prospective study: surgical technique and results of 259 operations. [PDF]
Sleptsov I +11 more
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