Results 11 to 20 of about 1,746 (160)

Finite groups with weakly subnormal and partially subnormal subgroups

Sibirskii matematicheskii zhurnal, 2021
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Huang, J., Hu, B., Skiba, A. N.
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Groups in which all Subgroups are Subnormal-by-Finite [PDF]

Advances in Group Theory and Applications, 2016
We prove that a locally finite group G in which every subgroup is a finite extension of a subnormal subgroup of G is nilpotent-by-\v Cernikov.
Carlo Casolo
doaj   +1 more source

Finite Groups with $H_σ$-Permutably Embedded Subgroups [PDF]

Advances in Group Theory and Applications, 2017
Let $G$ be a finite group. Let $\sigma=\{\sigma_i|i\inI\}$ be a partition of the set of all primes $P$ and $n$ an integer. We write $\sigma(n) = \{\sigma_i|\sigma_i\cap \pi(n)\neq\emptyset\}$, $\sigma(G) = \sigma(|G|)$.
Darya A. Sinitsa
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Finite Groups whose Cyclic Subnormal Subgroups Satisfy Certain Permutability Conditions [PDF]

Advances in Group Theory and Applications, 2016
Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminormal are investigated.
A. Ballester-Bolinches, J.C. Beidleman, V. Pérez-Calabuig   +2 more
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Finite groups with given systems of generalised σ-permutable subgroups

Журнал Белорусского государственного университета: Математика, информатика, 2021
Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ  of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ  is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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A fibering theorem for 3-manifolds [PDF]

Groups, Complexity, Cryptology, 2021
We generalize a result of Moon on the fibering of certain 3-manifolds over the circle. Our main theorem is the following: Let $M$ be a closed 3-manifold.
Jordan A. Sahattchieve
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On some groups whose subnormal subgroups are contranormal-free [PDF]

International Journal of Group Theory
If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko, Patrizia Longobardi, Mercede Maj   +2 more
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Permutable subnormal subgroups of finite groups [PDF]

Archiv der Mathematik, 2009
The aim of this paper is to prove certain characterization theorems for groups in which permutability is a transitive relation, the so called PT -groups. In particular, it is shown that the finite solvable PT -groups, the finite solvable groups in which every subnormal subgroup of defect two is permutable, the finite solvable groups in which every ...
Ballester-Bolinches, Adolfo, Beidleman, J C, Cossey, Peter (John), Esteban-Romero, R, Ragland, M F, Schmidt, Jack   +5 more
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On numbers which are orders of nilpotent groups with bounded class [PDF]

International Journal of Group Theory
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Maria Ferrara
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On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

Mathematics, 2022
Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving ...
Yangming Li, Yubo Lv, Xiangyang Xu
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