Results 1 to 10 of about 389 (185)
Weakly totally permutable products and Fitting classes [PDF]
International Journal of Group Theory, 2021 It is known that if $ G=AB $ is a product of its totally permutable subgroups $ A $ and $ B $, then $ G\in \mathfrak{F} $ if and only if $ A\in \mathfrak{F} $ and $ B\in \mathfrak{F} $ when $ \mathfrak{F} $ is a Fischer class containing the class ...
Sesuai Madanha
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Normalisers in Some Products of Finite Groups [PDF]
Advances in Group Theory and Applications, 2021 A group G = AB is a weakly totally permutable product of subgroups A and B if for every subgroup U of A such that U
Sesuai Y. Madanha
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Structure of finite groups with some weakly $S$-semipermutable subgroups [PDF]
Journal of Mahani Mathematical Research, 2023 Let $ G $ be a finite group. If $ A\leq G $, recall that $ A $ is weakly $S$-semipermutable in $G$ provided there is $K\unlhd G$ such that $KA$ is $S$-permutable in $G$, and $K\cap A$ is $S$-semipermutable in $G$.
Hassan Jafarian Dehkordi +2 more
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A note on groups with a finite number of pairwise permutable seminormal subgroups [PDF]
International Journal of Group Theory, 2022 A subgroup $A$ of a group $G$ is called {\it seminormal} in $G$, if there exists a subgroup $B$ such that $G=AB$ and $AX$~is a subgroup of $G$ for every subgroup $X$ of $B$. The group $G = G_1 G_2 \cdots G_n$ with pairwise permutable subgroups $G_1
Alexander Trofimuk
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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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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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Ratio Mathematica, 2020 A subgroup H of a group G is termed permutable (or quasi normal) in G if it satisfies the following equivalent conditions: For any subgroup K of G, HK (the product of subgroups H and K) is a group.
Behnam Razzagh
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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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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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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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