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On locally finite groups whose cyclic subgroups are monopronormal
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2017 The description of locally finite groups whose cyclic subgroups are monopronormal was obtained.
A.A. Pypka
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A note on groups with many locally supersoluble subgroups [PDF]
International Journal of Group Theory, 2015 It is proved here that if G is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then G is either locally supersoluble or a \vCernikov group.
Francesco de Giovanni +1 more
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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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Crosscap of the non-cyclic graph of groups
AKCE International Journal of Graphs and Combinatorics, 2016 The non-cyclic graph CG to a non locally cyclic group G is as follows: take G∖Cyc(G) as vertex set, where Cyc(G)={x∈G|〈x,y〉 is cyclic for all y∈G} is called the cyclicizer of G, and join two vertices if they do not generate a cyclic subgroup.
K. Selvakumar, M. Subajini
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On Shunkov Groups Saturated with Finite Groups
Известия Иркутского государственного университета: Серия "Математика", 2018 The structure of the group consisting of elements of finite order depends to a large extent on the structure of the finite subgroups of the group under consideration. One of the effective conditions for investigating an infinite group containing elements
A.A. Shlepkin
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Local definitions of formations of finite groups [PDF]
Journal of Mathematical Sciences, 2012 A problem of constructing of local definitions for formations of finite groups is discussed in the article. The author analyzes relations between local definitions of various types. A new proof of existence of an $ω$-composition satellite of an $ω$-solubly saturated formation is obtained. It is proved that if a non-empty formation of finite groups is $\
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Layer-finiteness of Some Groups
Известия Иркутского государственного университета: Серия "Математика"Infinite groups with finiteness conditions for an infinite system of subgroups are studied. Groups with a condition: the normalizer of any non-trivial finite subgroup is a layer-finite group or the normalizer of any non-trivial finite subgroup has a ...
V.I. Senashov
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Characteristic subgroups in locally finite groups
Journal of Algebra, 2012 If a group \(G\) possesses a subgroup \(T\) of finite index, it possesses also a proper normal subgroup of finite index. The authors want instead a characteristic subgroup \(U\), they restrict themselves to locally finite groups \(G\) and subgroups \(T\) with a finite normal series with quotients that are locally nilpotent or satisfy given outer ...
Makarenko, N.Yu., Shumyatsky, P.
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A note on locally finite group algebras [PDF]
Proceedings of the American Mathematical Society, 1975 We obtain an injectivity condition for group algebras which is equivalent to local finiteness.
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Analysis and Geometry in Metric Spaces, 2014 A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups.
Franchi Bruno +2 more
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