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On S-semipermutable or S-permutably embedded subgroups of finite groups

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1 Published in 2017 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-016-0674-2

Abstract: We extend some known results concerning S-semipermutable subgroups and S-permutably embedded subgroups. In particular, we generalize the main results of Kong [15] and Li et al. [11]. read more here.

Keywords: finite groups; semipermutable permutably; embedded subgroups; permutably embedded ... See more keywords

Nearly s-embedded subgroups and the p-nilpotency of finite groups

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1 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1749648

Abstract: Abstract A subgroup H of a finite group G is said to be nearly s-embedded in G if G has an s-permutable subgroup T and an s-semipermutable subgroup HssG contained in H such that and… read more here.

Keywords: finite groups; nilpotency finite; nearly embedded; subgroups nilpotency ... See more keywords

π-Quasinormally embedded subgroups and p-nilpotency of finite groups

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1 Published in 2020 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1800721

Abstract: Abstract Let P be a nontrivial p-group. A chain of subgroups is called a maximal chain of P provided that In this article, we determine the structure of finite groups having π-quasinormally embedded subgroups of… read more here.

Keywords: finite groups; groups quasinormally; nilpotency finite; subgroups nilpotency ... See more keywords

Notes on the Paper “On SS-Quasinormal and S-Quasinormally Embedded Subgroups of Finite Groups” of Shen et al.

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1 Published in 2018 at "Mathematical Notes"

DOI: 10.1134/s0001434618010339

Abstract: We correct an error in the paper of Z. Shen, S. Li, and J. Zhang published in [4]. In addition, we give an answer to a question posed by the authors. read more here.

Keywords: notes paper; quasinormal quasinormally; paper; paper quasinormal ... See more keywords

On σ-Embedded and σ-n-Embedded Subgroups of Finite Groups

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1 Published in 2019 at "Siberian Mathematical Journal"

DOI: 10.1134/s0037446619030030

Abstract: Let G be a finite group, and let σ = {σi | i ∈ I} be a partition of the set of all primes ℙ and σ(G) = {σi | σi ∩ π(G) ≠ ∅}.… read more here.

Keywords: finite groups; subgroup; embedded subgroups; subgroup said ... See more keywords