Results 1 to 10 of about 2,137 (216)
On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup [PDF]
International Journal of Group Theory, 2022 We study soluble groups $G$ in which each subnormal subgroup $H$ with infinite rank is commensurable with a normal subgroup, i.e. there exists a normal subgroup $N$ such that $H\cap N$ has finite index in both $H$ and $N$.
Ulderico Dardano, Fausto De Mari
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A study on the structure of finite groups with $c$-subnormal subgroups [PDF]
International Journal of Group Theory, 2023 In this paper, we use the definition of the concept ``c-Subnormal Subgroup" to study the structure of a given finite group $G$ which contains some $c-$subnormal subgroups. We prove two main theorems, which answer the question of what conditions must hold
Jehad Al Jaraden, Dana Jaraden
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On Generalized σ-Subnormal Subgroups of Finite Groups [PDF]
Advances in Group Theory and Applications, 2023 Let σ = {σi | i ∈ I} be some partition of the set of all primes P, G a finite group and σ(G) = {σi | σi ∩ π(G) ≠ ∅}. A subgroup A of G is said to be generalized σ-subnormal in G if A = ⟨L, T⟩, where L is a modular subgroup and T is a σ-subnormal subgroup
Muhammad Tanveer Hussain
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Finite Groups with Partially σ-Subnormal Subgroups in Short Maximal Chains [PDF]
Advances in Group Theory and Applications, 2021 Throughout this paper, all groups are finite and G always denotes a finite group. Let sigma be a partition of the set of all primes. The group G is said to be sigma-primary if G is a sigma_i-group for some sigma_i, and sigma-soluble if every chief factor
Viktoria S. Zakrevskaya
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On the Supersoluble Residual of a Product of Supersoluble Subgroups [PDF]
Advances in Group Theory and Applications, 2020 Let P be the set of all primes. A subgroup H of a group G is called P-subnormal in G, if either H = G, or there exists a chain of subgroups H = H_0 \leq H_1 \leq ... \leq H_n = G, with |H_i : H_{i-1}| \in P for all i.
Victor S. Monakhov +1 more
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Groups with Subnormal Deviation
Mathematics, 2023 The structure of groups which are rich in subnormal subgroups has been investigated by several authors. Here, we prove that if a periodic soluble group G has subnormal deviation, which means that the set of its non-subnormal subgroups satisfies a very ...
Francesco de Giovanni +2 more
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Groups Satisfying the Double Chain Condition on Subnormal Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2022 If θ is a subgroup property, a group G is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double sequences consisting of θ-subgroups.
Mattia Brescia, Francesco de Giovanni
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A note on locally soluble almost subnormal subgroups in divsion rings [PDF]
International Journal of Group Theory, 2021 Let $D$ be a division ring with center $F$ and assume that $N$ is a locally soluble almost subnormal subgroup of the multiplicative group $D^*$ of $D$. We prove that if $N$ is algebraic over $F$, then $N$ is central.
Truong Huu Dung
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On Groups whose Subnormal Abelian Subgroups are Normal [PDF]
Advances in Group Theory and Applications, 2022 In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko +2 more
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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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