Results 11 to 20 of about 16,300 (303)
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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Locally finite groups of finite centralizer dimension [PDF]
Journal of Group Theory, 2019 Abstract We describe the structure of locally finite groups of finite centralizer dimension.
Borovik, Alexandre; id_orcid 0000-0003-0808-8687 +1 more
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Sylowizers in Locally Finite Groups [PDF]
Proceedings of the American Mathematical Society, 1974 A result of W. Gaschütz for finite soluble groups is extended to two classes of locally finite, locally soluble groups.
M. J. Tomkinson
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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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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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On Centralizers in Locally Finite Groups
Journal of Algebra, 2001 We give a flavour of this paper by quoting a couple of its results. Let \(G\) be a locally finite group containing a finite \(p\)-subgroup \(A\) such that \(C_G(A)\) is finite and a non-cyclic subgroup \(B\) of order \(p^2\) such that \(C_G(b)\) has finite exponent for each non-trivial element \(b\) of \(B\).
Shumyatsky, Pavel, Pavel Shumyatsky
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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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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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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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