Search Results - "Kurdachenko, L. A."

Groups with Finitely Many Isomorphic Classes of Relevant Subgroups by Kurdachenko, L. A., Longobardi, P., Maj, M.

“…We study groups possessing the following property: for some relevant families M of subgroups of G , subgroups from M fall into finitely many isomorphic classes…”
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Groups satisfying the minimal condition on subgroups which are not transitively normal by de Giovanni, F., Kurdachenko, L. A., Russo, A.

“…A subgroup X of a group G is called transitively normal if X is normal in any subgroup  Y of G such that X ≤ Y and X is subnormal in Y . Thus all subgroups of…”
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Modules over some group rings, having d-generator property by Bovdi, V. A., Kurdachenko, L. A.

“…For modules over group rings we introduce the following numerical parameter. We say that a module A over a ring R has finite r -generator property if each f.g…”
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On the Automorphism Groups for Some Leibniz Algebras of Low Dimensions by Kurdachenko, L. A., Pypka, O. O., Velychko, T. V.

“…We study the automorphism groups of Leibniz algebras of low dimensions and obtain complete descriptions of the automorphism groups of Leibniz algebras of…”
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Correction to: On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing Subalgebras by Kurdachenko, L. A., Pypka, O. O., Subbotin, I. Ya

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On the Structure of Groups Whose Non-normal Subgroups Are Core-Free by Kurdachenko, L. A., Pypka, A. A., Subbotin, I. Ya

“…A subgroup H of a group G is called core-free if Core G ( H ) = ⋂ x ∈ G H x = ⟨ 1 ⟩ . In the current article, we study the groups in which every subgroup is…”
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Groups in Which the Normal Closures of Cyclic Subgroups Have Bounded Finite Hirsch–Zaitsev Rank by Kurdachenko, L. A., Semko, N. N.

“…In this paper, we study generalized soluble groups with restriction on normal closures of cyclic subgroups. A group G is said to have finite Hirsch–Zaitsev…”
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On a generalization of Baer Theorem by KURDACHENKO, L. A., OTAL, J., SUBBOTIN, I. YA

“…R. Baer has proved that if the factor-group G/ζ n (G) of a group G by the member ζ n (G) of its upper central series is finite (here n is a positive integer),…”
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On groups whose subgroups of infinite rank are Sylow permutable by Ballester-Bolinches, A., Camp-Mora, S., Kurdachenko, L. A., Spagnuolo, F.

“…In this paper, we investigate the structure of locally finite groups of infinite section rank (respectively, special rank) whose subgroups of infinite section…”
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Groups with pronormal deviation by de Giovanni, F., Kurdachenko, L.A., Russo, A.

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Groups acting on vector spaces with a large family of invariant subspaces by Kurdachenko, L.A., Muñoz-Escolano, J.M., Otal, J.

“…Let A be a vector space over a field F, and let GL(F, A) be the group of all F-automorphisms of A. A subgroup G ≤ GL(F, A) is called a linear group (on A) and…”
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On the structure of left braces satisfying the minimal condition for subbraces by Ballester-Bolinches, A., Esteban-Romero, R., Kurdachenko, L.A., Pérez-Calabuig, V.

“…We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as…”
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Linear groups with the maximal condition on subgroups of infinite central dimension by Kurdachenko, L. A., Subbotin, I. Ya

“…Let $A$ a vector space over a field $F$ and let $H$ be a subgroup of $\operatorname{GL}(F, A)$. We define $\operatorname{centdim}_F H$ to be…”
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Abnormal, Pronormal, Contranormal, and Carter Subgroups in Some Generalized Minimax Groups by Kurdachenko, L. A., Otal, J., Subbotin, I. Ya

“…Some properties of abnormal and pronormal subgroups in generalized minimax groups are considered. For generalized minimax groups (not only periodic) whose…”
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On the structure of some nilpotent braces by Dixon, M.R., Kurdachenko, L.A.

“…We prove a criteria for nilpotency of left braces in terms of the $\star$-central series and also discuss Noetherian braces, obtaining some of their elementary…”
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Abnormal subgroups and Carter subgroups in some classes of infinite groups by Kurdachenko, L.A., Otal, J., Russo, A., Vincenzi, G.

“…We study the relationship between Carter subgroups and groups satisfying the minimal condition on their abnormal subgroups in classes of generalized soluble…”
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Groups all proper quotient groups of which have Chernikov conjugacy classes by Kurdachenko, L. A., Otal, J.

“…We study groups all proper quotient groups of which are CC-groups…”
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ON SOME CRITERIA OF NILPOTENCY by Kurdachenko, L. A., Otal, J., Subbotin, I. Ya

“…The article is dedicated to some generalizations of minimax soluble groups satisfying common criterion of nilpotency, such that normality of maximal subgroups,…”
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Description of the automorphism groups of some Leibniz algebras by Kurdachenko, L.A., Pypka, O.O., Semko, M.M.

“…Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz…”
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On the algebra of derivations of some nilpotent Leibniz algebras by Kurdachenko, L.A., Semko, M.M., Yashchuk, V.S.

“…We describe the algebra of derivations of some nilpotent Leibniz algebra, having dimensionality 3…”
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