Results 11 to 20 of about 52,812 (244)
Fully inert subgroups of divisible Abelian groups [PDF]
Journal of Group Theory, 2013 A subgroup H of an Abelian group G is said to be fully inert if the quotient (H + phi(H)/H is finite for every endomorphism phi of G. Clearly, this is a common generalization of the notions of fully invariant, finite and finite-index subgroups.
Dikranjan, Dikran +3 more
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Fully inert subgroups of Abelian p-groups [PDF]
Journal of Algebra, 2014 A subgroup \(H\) of an Abelian group \(G\) is \textit{fully inert} if the index \([\varphi(H):H\cap\varphi(H)]\) is finite for every endomorphism \(\varphi\) of \(G\). This paper is devoted to the study of fully inert subgroups of Abelian \(p\)-groups.
B. Goldsmith +2 more
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Elementary abelian 2 subgroups of compact Lie groups
Geometriae Dedicata, 2012 We classify elementary abelian 2 subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $p$ subgroups of compact (or linear algebraic) simple groups of adjoint type.Comment: 40 pages, comments are ...
Yu, Jun
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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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Solitary subgroups of Abelian groups
Expositiones Mathematicae, 2021 A subgroup \(K\) of an abelian group \(G\) is called solitary if \(G\) contains no other subgroup isomorphic to \(K\). The paper is dedicated to the study of solitary subgroups for some important classes of abelian groups. Complete descriptions are presented in Theorem 3 and Theorem 4.
Călugăreanu, Grigore +1 more
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Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order
Математичні Студії, 2022 One of the main directions in group theory is the study of the impact of characteristic subgroups on the structure of the whole group. Such characteristic subgroups include different $\Sigma$-norms of a group.
M. Drushlyak, T. Lukashova
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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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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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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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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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