Results 31 to 40 of about 16,300 (303)
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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$p$-local finite group cohomology [PDF]
Homology, Homotopy and Applications, 2011 We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.
Levi, Ran, Ragnarsson, Kári
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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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On Locally Finite Skew Group Algebras [PDF]
Mathematical Notes, 2020 In this note, we study the problem on the existence of non-cyclic free subgroups of the skew group algebra of a locally finite group over a field.
Hai, Bui Xuan +2 more
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Some remarks about groups of finite special rank [PDF]
Advances in Group Theory and Applications, 2016 The paper presents some results about groups of finite special and section ranks. For instance, among others, it was proved that if every locally (soluble minimax) subgroup of a generalized radical group G has finite special rank, then G has finite ...
L.A. Kurdachenko +2 more
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A local approach to a class of locally finite groups [PDF]
Bulletin of the Australian Mathematical Society, 2003 This paper is devoted to the study of a class of generalised P-nilpotent groups in the universe cℒ̄ of all radical locally finite groups satisfying min-q for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.
Ballester-Bolinches, A. +1 more
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A finiteness condition on centralizers in locally finite groups [PDF]
Monatshefte für Mathematik, 2016 11 pages, submitted to an international journal.
Fernández Alcober, Gustavo Adolfo +3 more
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Homogenous finitary symmetric groups [PDF]
International Journal of Group Theory, 2015 We characterize strictly diagonal type of embeddings of finitary symmetric groups in terms of cardinality and the characteristic. Namely, we prove the following. Let kappa be an infinite cardinal. If G=underseti=1stackrelinftybigcupG i , where G i =
Otto. H. Kegel +1 more
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