Results 21 to 30 of about 13,773 (268)
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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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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Nilpotent $p$-local finite groups
, 2011 In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
Cantarero, J., Scherer, J., Viruel, A.
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Complete Universal Locally Finite Groups [PDF]
Transactions of the American Mathematical Society, 1978 This paper will partly strengthen a recent application of model theory to the construction of sets of pairwise nonembeddable universal locally finite groups [8]. Our result is Theorem. There is a set U \mathcal {U} of 2 ℵ 1
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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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Sylowizers in Locally Finite Groups [PDF]
Proceedings of the American Mathematical Society, 1974 A result of W. Gaschütz for finite soluble groups is extended to two classes of locally finite, locally soluble groups.
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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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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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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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