Results 21 to 30 of about 580,983 (269)
Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
Advances in Group Theory and Applications, 2016 It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
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LATTICE UNIVERSALITY OF LOCALLY FINITE \(p\)-GROUPS
Ural Mathematical Journal, 2023 For an arbitrary prime \(p\), we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite \(p\)-group.
Vladimir B. Repnitskiǐ
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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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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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The fundamental group of a locally finite graph with ends: a hyperfinite approach [PDF]
, 2012 The end compactification |\Gamma| of the locally finite graph \Gamma is the union of the graph and its ends, endowed with a suitable topology. We show that \pi_1(|\Gamma|) embeds into a nonstandard free group with hyperfinitely many generators, i.e.
Isaac Goldbring, A. Sisto
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On groups covered by locally nilpotent subgroups [PDF]
, 2016 Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa +2 more
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ON LOCAL FINITENESS OF PERIODIC RESIDUALLY FINITE GROUPS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2002 AbstractLet $G$ be a periodic residually finite group containing a nilpotent subgroup $A$ such that $C_G(A)$ is finite. We show that if $\langle A,A^g\rangle$ is finite for any $g\in G$, then $G$ is locally finite.AMS 2000 Mathematics subject classification: Primary ...
Kuzucuoğlu, Mahmut, Shumyatsky, Pavel
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