Results 21 to 30 of about 280,898 (322)
Journal of Algebra, 1984 This paper is a contribution to the study of locally finite groups satisfying Min-2, the minimal condition on 2-subgroups. Such a group G is called 2-fine, if the Sylow 2-subgroups of \(G/0_{2'2}(G)\) are finite. Conditions for a locally finite group with Min-2 to be 2-fine are important because they often enable problems about such groups to be ...
Stingl, Volker, Turau, Volker
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Chevalleyp–local finite groups [PDF]
Algebraic & Geometric Topology, 2007 This paper is an impressive contribution to the theory of \(p\)-local finite groups with a number of very interesting results, including the following two theorems: Theorem A: Let \(p\) be an odd prime. If \(X\) is a \(1\)-connected \(p\)-compact group, \(q\) a prime power prime to \(p\), and \(\tau\) an automorphism of \(X\) of finite order prime to \(
Møller, Jesper Michael, Broto, Carles
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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, Karhumäki, Ulla
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Locally graded groups with a condition on infinite subsets [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group, we say that $G$ satisfies the property $mathcal{T}(infty)$ provided that, every infinite set of elements of $G$ contains elements $xneq y, z$ such that $[x, y, z]=1=[y, z, x]=[z, x, y]$.
Asadollah Faramarzi Salles +1 more
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Finite-dimensional Lie subalgebras of algebras with continuous inversion [PDF]
, 2008 We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition.
Beltita, Daniel, Neeb, Karl-Hermann
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Extensions of $p$-local finite groups [PDF]
Transactions of the American Mathematical Society, 2007 A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying ...
Broto, Carles +4 more
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Groups in which Every Subgroup of Infinite Rank is Nearly Permutable [PDF]
Advances in Group Theory and Applications, 2017 In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.
A.V. De Luca, R. Ialenti
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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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Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
Karpatsʹkì Matematičnì Publìkacìï, 2022 The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
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INVOLUTIONS IN LOCALLY FINITE GROUPS
Journal of the London Mathematical Society, 2004 Summary: 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.
Mahmut Kuzucuoğlu, Pavel Shumyatsky
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