Results 1 to 10 of about 246 (104)
On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups
Известия Иркутского государственного университета: Серия "Математика", 2021 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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Properties of groups with points [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point ...
V.I. Senashov, E.N. Takovleva
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On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions
Известия Иркутского государственного университета: Серия "Математика", 2020 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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New classes of infinite groups [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 In this article, we consider some new classes of groups, namely, Mp-groups, T0-groups,Ø-groups,Ø0-groups, groups with finitely embedded involution, which were appeared at the end of twenties century.
V.I. Senashov, V.P. Shunkov
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We consider the problem of recognizing a group by its bottom layer. This problem is solved in the class of layer-finite groups. A group is layer-finite if it has a finite number of elements of every order. This concept was first introduced by S.
V.I. Senashov, I.A. Paraschuk
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On nilpotent Chernikov p-groups with elementary tops [PDF]
Archiv der Mathematik, 2014 The description of nilpotent Chernikov $p$-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field $\mathbb{F}_p$. If $p\ne2$ and the bottom of the group only consists of $2$ quasi-cyclic summands, a complete classification is given. We use the technique of quivers with relations.
Drozd, Yuriy, Plakosh, Andriana
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Issues of the evolution of the image of Stalingrad-Volgograd in fine arts 1940–2020
Искусство Евразии, 2020 The article examines the features of artistic perception and representation of the geographical and cultural space of Stalingrad-Volgograd in evolutionary development in 1940–2020; interaction between architectural and artistic texts of the city, the ...
Malkova, O.P.
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Locally finite groups containing a $2$-element with Chernikov centralizer [PDF]
Monatshefte für Mathematik, 2014 Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is proved that if the involution in $\langle g\rangle$ has nilpotent centralizer, then $G$ has a soluble subgroup of finite index.
Evgeny Khukhro +2 more
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Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]
International Journal of Group Theory, 2012 We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
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Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov
Open Mathematics, 2012 Abstract Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of the additive group A of a locally finite field F by a subgroup K of the ...
CUTOLO, GIOVANNI, H. Smith
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