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Periodic locally nilpotent groups of finite $c$-dimension

Sibirskie Elektronnye Matematicheskie Izvestiya, 2020
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А. А. Бутурлакин, Irina Devyatkova   +1 more
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Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

Siberian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Д. В. Лыткина, V. D. Mazurov
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Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups

Siberian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xicheng Wei, Wen Guo, Д. В. Лыткина, В. Д. Мазуров   +3 more
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Automorphisms of the semigroup of finite complexes of a periodic locally cyclic group [PDF]

Pacific Journal of Mathematics, 1977
Richard Byrd, Justin T. Lloyd, F. D. Pedersen, J. W. Stepp   +3 more
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On Periodic Groups Saturated with Finite Frobenius Groups

Известия Иркутского государственного университета: Серия "Математика", 2021
A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
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Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups

Известия Иркутского государственного университета: Серия "Математика", 2023
In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
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ON LOCAL FINITENESS OF PERIODIC RESIDUALLY FINITE GROUPS [PDF]

Proceedings of the Edinburgh Mathematical Society, 2002
AbstractLet $G$ be a periodic residually finite group containing a nilpotent subgroup $A$ such that $C_G(A)$ is finite. We show that if $\langle A,A^g\rangle$ is finite for any $g\in G$, then $G$ is locally finite.AMS 2000 Mathematics subject classification: Primary ...
Kuzucuoğlu, Mahmut, Shumyatsky, Pavel
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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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On Groups with Extreme Centralizers and Normalizers [PDF]

Advances in Group Theory and Applications, 2016
An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer.
Derek J.S. Robinson
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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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