Results 51 to 60 of about 240,173 (254)
A note on groups with many locally supersoluble subgroups [PDF]
International Journal of Group Theory, 2015 It is proved here that if G is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then G is either locally supersoluble or a \vCernikov group.
Francesco de Giovanni +1 more
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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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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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Locally (Soluble-by-Finite) Groups of Finite Rank
Journal of Algebra, 1996 The authors prove the following result: A locally (soluble-by-finite) group with all locally soluble subgroups of finite rank is (locally soluble)-by-finite and of finite rank. After they have shown that the group is of finite rank the result follows from a theorem of N. S. Chernikov.
Dixon, Martyn R. +2 more
openaire +1 more source
Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Relationships between the Factors of the Central Series and the Nilpotent Residual in Some Infinite Groups [PDF]
Advances in Group Theory and Applications, 2017 We consider some natural relationships between the factors of the central series in groups. It was proved that if $G$ is a locally generalized radical group and $G/\zeta_k(G)$ has finite section $p$-rank $r$ (for some positive integer $k$), then $G ...
Aleksandr A. Pypka
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Spectral properties of a class of random walks on locally finite groups [PDF]
, 2011 We study some spectral properties of random walks on infinite countable amenable groups with an emphasis on locally finite groups, e.g. the infinite symmetric group.
A. Bendikov, Barbara Bobikau, C. Pittet
semanticscholar +1 more source
On some generalization of pronormal subgroups in locally finite group
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2015 We proved that if every subgroup of locally finite group is monopronormal, then this group is a $\overline{T}$-group.
A.A. Pypka, N.A. Turbay
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On groups with two isomorphism classes of central factors [PDF]
International Journal of Group Theory, 2018 The structure of groups which have at most two isomorphism classes of central factors ($B_2$-groups) are investigated. A complete description of $B_2$-groups is obtained in the locally finite case and in the nilpotent case.
Serena Siani
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