Results 11 to 20 of about 3,198 (227)
On Direct Products of Dihedral Groups in Locally Finite Groups
Известия Иркутского государственного университета: Серия "Математика"When studying infinite groups, as a rule, some finiteness conditions are imposed. For example, they require that the group be periodic, a Shunkov group, a Frobenius group, or a locally finite group.
I. A. Timofeenko, A.A. Shlepkin
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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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Finiteness of topological entropy for locally compact abelian groups [PDF]
, 2021 We study the locally compact abelian groups in the class E_infty, that is, having only continuous endomorphisms of finite topological entropy, and in its subclass E_0, that is, having all continuous endomorphisms with vanishing topological entropy.
Russo, Francesco G. +2 more
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On infinite groups in which all abelian subgroups are locally cyclic [PDF]
, 2022 The structure of locally soluble periodic groups in which every abelian subgroup is locally cyclic was described over 20 years ago. We complete the aforementioned characterization by dealing with the non-periodic case. We also describe the structure
Nicotera C., Delizia C.
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Products of locally cyclic groups
, 2021 We consider groups of the form G=AB with two locally cyclic subgroups A and B. The structure of these groups is determined in the cases when A and B are both periodic or when one of them is periodic and the other is not. Together with a previous study of
Amberg, Bernhard, Sysak, Yaroslav
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On non-periodic groups whose finitely generated subgroups are either permutable or pronormal [PDF]
, 2013 summary:The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group $G$ is called a generalized radical, if $G$ has an ascending series whose factors are locally nilpotent or locally ...
Kurdachenko, L. A. +2 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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Structure of Finite-Dimensional Protori
Axioms, 2019 A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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A finiteness condition on centralizers in locally nilpotent groups [PDF]
, 2017 We give a detailed description of infinite locally nilpotent groups G such that the index |C_G(x):⟨x⟩| is finite, for every ⟨x⟩⋪G. We are also able to extend our analysis to all non-periodic groups satisfying a variation of our condition, where the ...
Fernández Alcober, Gustavo Adolfo +3 more
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Infinite groups with fixed point properties
, 2007 We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva +23 more
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