Results 11 to 20 of about 915,771 (329)
On Two Properties of Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2021 One of the interesting classes of mixed groups ( i.e. groups that can contain both elements of finite order and elements of infinite order) is the class of Shunkov groups. The group $G$ is called Shunkov group if for any finite subgroup $H$ of $G$ in the
A.A. Shlepkin, I. V. Sabodakh
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Growth of periodic quotients of hyperbolic groups [PDF]
, 2012 Let G be a non-elementary torsion-free hyperbolic group. We prove that the exponential growth rate of the periodic quotient G/G^n tends to the one of G as n odd approaches infinity. Moreover we provide an estimate at which the convergence is taking place.
Coulon, Rémi
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On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
Известия Иркутского государственного университета: Серия "Математика", 2017 A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
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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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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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Some classes of minimally almost periodic topological groups
Applied General Topology, 2015 A Hausdorff topological group G=(G,T) has the small subgroup generating property (briefly: has the SSGP property, or is an SSGP group) if for each neighborhood U of $1_G$ there is a family $\sH$ of subgroups of $G$ such that $\bigcup\sH\subseteq U$ and $\
Wistar Comfort, Franklin R. Gould
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Almost periodic transformation groups [PDF]
Transactions of the American Mathematical Society, 1937 1. In view of the recent work on topological groups it is natural to consider the situation which arises when such groups act as transformation groups on various types of spaces. Such a study is begun here from the point of view of almost periodic transformation groups, the definition of which is suggested by von Neumann's paper on almost periodic ...
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Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]
, 2015 We investigate the automorphism groups of $\aleph\_0$-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function
Tsankov, Todor, Yaacov, Itaï Ben
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Alzheimer’s Research & Therapy, 2023 Background Alzheimer’s dementia (AD) is associated with electroencephalography (EEG) abnormalities including in the power ratio of beta to theta frequencies.
Hamed Azami +14 more
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Finiteness results for subgroups of finite extensions [PDF]
, 2014 We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor +2 more
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