Results 11 to 20 of about 13,773 (268)
On Periodic Groups Saturated with Finite Frobenius Groups
Известия Иркутского государственного университета: Серия "Математика", 2021 A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
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Finite and Locally Finite Groups [PDF]
, 1995 Preface. Introduction. Simple locally finite groups B. Hartley. Algebraic groups G.M. Seitz. Subgroups of simple algebraic groups and related finite and locally finite groups of Lie type M.W. Liebeck. Finite simple groups and permutation groups J. Saxl. Finitary linear groups: a survey R.E. Phillips.
Hartley, B. +3 more
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Compact groups with countable Engel sinks
Bulletin of Mathematical Sciences, 2021 An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
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On Groups with Extreme Centralizers and Normalizers [PDF]
Advances in Group Theory and Applications, 2016 An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer.
Derek J.S. Robinson
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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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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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