Results 281 to 290 of about 240,272 (354)
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Locally finite simple groups whose non-Abelian subgroups are pronormal
Communications in Algebra, 2023A subgroup X of a group G is said to be pronormal if the subgroups X and are conjugate in for all . Moreover, in analogy with metahamiltonian groups (i.e.
Mattia Brescia, M. Trombetti
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Permutable Subgroups in GLn(D) and Applications to Locally Finite Group Algebras
Vietnam Journal of Mathematics, 2019In this paper we study the existence of free nonabelian subgroups in noncentral permutable subgroups of general skew linear groups and locally finite group algebras.
L. Q. Danh, M. H. Bien, B. X. Hai
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Localization and finite simple groups
Israel Journal of Mathematics, 2006Let \(H\) and \(G\) be groups. A group homomorphism from \(H\) to \(G\) is called a localization if and only if it induces a bijection between \(\Hom(G,G)\) and \(\Hom(H,G)\). Following \textit{J. L. Rodríguez, J. Scherer} and \textit{J. Thévenaz} [Isr. J. Math.
Parker, Chris, Saxl, Jan
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Shalom’s property HFD and extensions by ℤ of locally finite groups
Israel Journal of Mathematics, 2017We show that every finitely generated extension by ℤ of a locally normally finite group has Shalom’s property HFD. The statement is no longer true without the normality assumption. This permits to answer some questions of Shalom, Erschler–Ozawa and Kozma.
Jérémie Brieussel, Tianyi Zheng
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INVOLUTIONS IN LOCALLY FINITE GROUPS
Journal of the London Mathematical Society, 2004Summary: The paper deals with locally finite groups \(G\) having an involution \(\varphi\) such that \(C_G(\varphi)\) is of finite rank. The following theorem gives a very detailed description of such groups. Let \(G\) be a locally finite group having an involution \(\varphi\) such that \(C_G(\varphi)\) is of finite rank.
Kuzucuoğlu, Mahmut, Shumyatsky, Pavel
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σ-Subnormality in locally finite groups
Journal of Algebra, 2023Let \(\sigma=\{\sigma_{j} \mid j \in J\}\) be a partition of the set of prime numbers. A subgroup \(X\) of a finite group \(G\) is \(\sigma\)-subnormal if there exists a chain of subgroups \(X=X_{0} \leq X_{1} \leq \dots \leq X_{n}=G\) such that, for each \(1 \leq i \leq n\), \(X_{i-1} \trianglelefteq X_{i}\) or \(X_{i}/(X_{i-1})_{X_{i}}\) is a ...
Ferrara M., Trombetti M.
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Locally Finite Barely Transitive Groups
Algebra and Logic, 2003Infinite transitive permutation groups all proper subgroups of which have just finite orbits are treated. Under the extra condition of being locally finite, such groups are proved to be primary, and, moreover, soluble if the stabilizer of some point is soluble.
Belyaev, V. V., Kuzucuoglu, Mahmud
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On Infinite Locally Finite Groups
Canadian Mathematical Bulletin, 1994AbstractIf G is a group such that every infinite subset of G contains a commuting pair of elements then G is centre-by-finite. This result is due to B. H. Neumann. From this it can be shown that if G is infinite and such that for every pair X, Y of infinite subsets of G there is some x in X and some y in Y that commute, then G is abelian. It is natural
Rhemtulla, Akbar, Smith, Howard
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Universal actions and representations of locally finite groups on metric spaces
Israel Journal of Mathematics, 2016We construct a universal action of a countable locally finite group (the Hall group) on a separable metric space by isometries. This single action contains all actions of all countable locally finite groups on all separable metric spaces as subactions ...
M. Doucha
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1974
The group G is locally finite if each of its finitely generated subgroups is finite. Until rather recently the area of locally finite groups entirely belonged to the wilderness of counter-examples; and there absurdly wild behaviour is possible, indeed. What little progress has been made in cultivating some fringes of this wilderness is essentially due ...
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The group G is locally finite if each of its finitely generated subgroups is finite. Until rather recently the area of locally finite groups entirely belonged to the wilderness of counter-examples; and there absurdly wild behaviour is possible, indeed. What little progress has been made in cultivating some fringes of this wilderness is essentially due ...
openaire +1 more source