Results 11 to 20 of about 19,909 (248)
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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Properties of groups with points [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point ...
V.I. Senashov, E.N. Takovleva
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On the Structure of Groups whose Non-Abelian Subgroups are Serial [PDF]
Advances in Group Theory and Applications, 2016 Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.
M.R. Dixon, L.A. Kurdachenko, N.N. Semko
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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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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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On the Existence of $f$-local Subgroups in a Group with Finite Involution
Известия Иркутского государственного университета: Серия "Математика", 2022 An $f$-local subgroup of an infinite group is each its infinite subgroup with a nontrivial locally finite radical. An involution is said to be finite in a group if it generates a finite subgroup with each conjugate involution.
A.I. Sozutov, M. V. Yanchenko
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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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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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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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