Results 1 to 10 of about 148 (119)
On groups satisfying the double chain condition on nonascendant subgroups [PDF]
International Journal of Group Theory, 2023 If $\theta$ is a subgroup property, a group $G$ is said to satisfy the double chain condition on $\theta$-subgroups if it admits no infinite double chain ...
Jia Zhang
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Locally Finite Groups and a Theorem of Belyaev [PDF]
Advances in Group Theory and Applications, 2023 We prove that a locally finite group satisfying the minimal condition on 2-subgroups is (locally soluble)-by-(quasi linear)-by-abelian-by-finite. Belyaev’s theorem, that a locally finite group satisfying the minimal condition on p-subgroups for every ...
B.A.F. Wehrfritz
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A survey on groups with some restrictions on normalizers or centralizers [PDF]
International Journal of Group Theory, 2020 We consider conditions on normalizers or centralizers in a group and we collect results showing how such conditions influence the structure of the group.
Leire Legarreta, Maria Tota
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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Sofic groups are not locally embeddable into finite Moufang loops [PDF]
Mathematica Bohemica, 2022 We shall show that there exist sofic groups which are not locally embeddable into finite Moufang loops. These groups serve as counterexamples to a problem and two conjectures formulated in the paper by M. Vodička, P. Zlatoš (2019).
Heghine Ghumashyan, Jaroslav Guričan
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Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p [PDF]
Advances in Group Theory and Applications, 2022 During his lectures to the 1987 Singapore Group Theory Conference Otto H. Kegel proposed the following question: “If every subgroup S of the locally finite group G contains a finite p-subgroup which is singular in S, does G then satisfy the strong Sylow ...
Felix F. Flemisch
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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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LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
Ural Mathematical Journal, 2023 For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group.
Vladimir B. Repnitskiǐ
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On infinite anticommutative groups [PDF]
International Journal of Group Theory, 2023 We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic. Moreover, we prove that Engel groups with the above property are locally nilpotent.
Costantino Delizia, Chiara Nicotera
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Torsion Locally Nilpotent Groups with the non-Dedekind Norm of Decomposable Subgroups [PDF]
Advances in Group Theory and Applications, 2023 We study torsion locally nilpotent groups with the non-Dedekind norm of decomposable subgroups. It is found out that such groups are locally finite p-groups. Their structure is described.
Tetiana Lukashova, Marina Drushlyak
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