Results 11 to 20 of about 544 (187)
On uniformly fully inert subgroups of abelian groups
Topological Algebra and its Applications, 2020 If H is a subgroup of an abelian group G and φ ∈ End(G), H is called φ-inert (and φ is H-inertial) if φ(H) ∩ H has finite index in the image φ(H). The notion of φ-inert subgroup arose and was investigated in a relevant way in the study of the so called ...
Dardano Ulderico +2 more
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Subgroup transitivity in abelian groups [PDF]
Proceedings of the American Mathematical Society, 1998 We generalize an appropriate modification of the classical notion of transitivity in abelian p p -groups from one that is ...
Hill, Paul, Kirchner West, Jane
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Normalizers and centralizers of subgroups in non-Abelian groups of small order [PDF]
Компьютерные исследования и моделирование, 2012 By applying the computer program, which is created by authors, we obtain the exact representation of normalizers and centralizers of all nontrivial subgroups in non-Abelian groups G under the condition |G|20.
Ilya Anatolievih Shilin +1 more
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Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2020 We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
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On T-Characterized Subgroups of Compact Abelian Groups
Axioms, 2015 A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
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Planarity of Inclusion Graph of Cyclic Subgroups of Finite Group [PDF]
Mathematics Interdisciplinary Research, 2020 Let G be a finite group. The inclusion graph of cyclic subgroups of G, Ic(G), is the (undirected) graph with vertices of all cyclic subgroups of G, and two distinct cyclic subgroups ⟨a⟩ and ⟨b⟩, are adjacent if and only if ⟨a⟩ ⊂ ⟨b⟩ or ⟨b⟩ ⊂ ⟨a⟩. In this
Zahra Garibbolooki, Sayyed Heidar Jafari
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Groups with an abelian Sylow subgroup [PDF]
Proceedings of the American Mathematical Society, 1977 The purpose of this note is to obtain a modular refinement of Brauer’s induction theorem for groups with an abelian Sylow subgroup.
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n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
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Abelian Subgroups of Garside Groups [PDF]
Communications in Algebra, 2008 In this paper, we show that for every abelian subgroup $H$ of a Garside group, some conjugate $g^{-1}Hg$ consists of ultra summit elements and the centralizer of $H$ is a finite index subgroup of the normalizer of $H$. Combining with the results on translation numbers in Garside groups, we obtain an easy proof of the algebraic flat torus theorem for ...
Lee, Eon-Kyung, Lee, Sang Jin
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Groups with many abelian subgroups
Journal of Algebra, 2011 The authors classify all groups all of whose subgroups of infinite index are Abelian. This class of groups is closed with respect to subgroups and quotient groups (but not a formation). Main theorem: If \(G\) is a non-Abelian group as defined, then \(G\) is finitely generated and \textit{either} (a) \(G/Z(G)\) is a just-infinite group with no Abelian ...
DE FALCO, MARIA +3 more
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