Results 21 to 30 of about 204 (52)
External definability and groups in NIP theories
, 2014 We prove that many properties and invariants of definable groups in NIP theories, such as definable amenability, G/G^{00}, etc., are preserved when passing to the theory of the Shelah expansion by externally definable sets, M^{ext}, of a model M.
Chernikov, Artem +2 more
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Finite groups and Lie rings with an automorphism of order $2^n$
, 2015 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
Mekler's construction and generalized stability
, 2018 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
Model-theoretic properties of nilpotent groups and Lie algebras
, 2023 We give a systematic study of the model theory of generic nilpotent groups and Lie algebras. We show that the Fra\"iss\'e limit of 2-nilpotent groups of exponent $p$ studied by Baudisch is 2-dependent and NSOP$_{1}$.
d'Elbée, Christian +3 more
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Product of Polycyclic-By-Finite Groups (PPFG) [PDF]
, 2019 In this paper we show that If the soluble-by-finite group G=AB is the product of two polycyclic-by-finite subgroups A and B, then G is polycyclic-by ...
Razzaghmaneshi, Behnam
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Verbal functions of a group [PDF]
, 2014 Daniele Toller, "Verbal functions of a group", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.71-99The aim of this paper is the study of elementary algebraic subsets of a ...
Toller, Daniele
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S. N. Chernikov and the development of infinite group theory [PDF]
, 2012 In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and results of S.N.Chernikov on the ...
Dixon, M.R. +6 more
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On lattices of generalized subnormal subgroups in finite metanilpotent groups [PDF]
Решена проблема Шеметкова об описании наследственных насыщенных решеточных формаций и решеточных подгрупповых функторов в классе всех конечных метанильпотентных ...
Васильев, А. Ф. +1 more
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GROUPS WITH FINITELY MANY CONJUGACY CLASSES OF SUBGROUPS THAT ARE NOT NILPOTENT-BY-CHERNIKOV [PDF]
Glasgow Mathematical Journal, 2006 openaire +1 more source
Mekler's Construction and Murphy's Law for 2-Nilpotent Groups
Mekler's construction is a powerful technique for building purely algebraic structures from combinatorial ones. Its power lies in the fact that it allows various model-theoretic tameness properties of the combinatorial structure to transfer to the ...
Boissonneau, Blaise +2 more
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