[HTML][HTML] Some characterizations of finite σ-soluble PσT-groups
AN Skiba - Journal of Algebra, 2018 - Elsevier
Let σ={σ i| i∈ I} be some partition of the set of all primes P and G a finite group. G is said to
be σ-soluble if every chief factor H/K of G is a σ i-group for some i= i (H/K). A set H of …
be σ-soluble if every chief factor H/K of G is a σ i-group for some i= i (H/K). A set H of …
On τσ-quasinormal subgroups of finite groups
JC Beidleman, AN Skiba - Journal of Group Theory, 2017 - degruyter.com
Let σ={σ i∣ i∈ I} be a partition of the set of all primes ℙ and G 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 σ i …
subgroups of G is said to be a complete Hall σ-set of G if every member≠ 1 of ℋ is a Hall σ i …
A Robinson description of finite PσT-groups
XF Zhang, W Guo, IN Safonova, AN Skiba - Journal of Algebra, 2023 - Elsevier
Let σ={σ i| i∈ I} be some partition of the set of all primes P and G a finite group. Then G is
said to be σ-full if G has a Hall σ i-subgroup for all i∈ I. A subgroup A of G is said to be σ …
said to be σ-full if G has a Hall σ i-subgroup for all i∈ I. A subgroup A of G is said to be σ …
[HTML][HTML] Some new characterizations of PST-groups
X Yi, AN Skiba - Journal of Algebra, 2014 - Elsevier
Let H and B be subgroups of a finite group G such that G= NG (H) B. Then we say that H is
quasipermutable (respectively, S-quasipermutable) in G provided H permutes with B and …
quasipermutable (respectively, S-quasipermutable) in G provided H permutes with B and …
Finite Groups with -Permutable Subgroups
W Guo, C Cao, AN Skiba, DA Sinitsa - Communications in Mathematics …, 2017 - Springer
Abstract Let σ={σ _ i ‖\i ∈ I\} σ= σ i| i∈ I be some partition of the set PP of all primes and G a
finite group. A set HH of subgroups of G is said to be a complete Hall σ σ-set of G if every …
finite group. A set HH of subgroups of G is said to be a complete Hall σ σ-set of G if every …
Groups with only σ-semipermutable and σ-abnormal subgroups
B Hu, J Huang, AN Skiba - Acta Mathematica Hungarica, 2017 - Springer
Let σ={i| i ∈ I\} σ= σ i| i∈ I be a partition of the set of all primes PP and G a finite group. Then
σ (G)={i ‖\sigma _ i ∩ π (G) ≠ ∅\} σ (G)= σ i| σ i∩ π (G)≠∅. A set HH of subgroups of G is …
σ (G)={i ‖\sigma _ i ∩ π (G) ≠ ∅\} σ (G)= σ i| σ i∩ π (G)≠∅. A set HH of subgroups of G is …
Finite groups in which generalized normality is a transitive relation
IN Safonova, AN Skiba - arXiv preprint arXiv:2302.13250, 2023 - arxiv.org
arXiv:2302.13250v1 [math.GR] 26 Feb 2023 Page 1 arXiv:2302.13250v1 [math.GR] 26 Feb
2023 Finite groups in which generalized normality is a transitive relation∗ Inna N. Safonova …
2023 Finite groups in which generalized normality is a transitive relation∗ Inna N. Safonova …
On boundary factors and traces of subgroups of finite groups
W Guo, AN Skiba, X Tang - Communications in Mathematics and Statistics, 2014 - Springer
Abstract A subgroup EE of a finite group GG is called hypercyclically embedded in GG if
every chief factor of GG below EE is cyclic. Let AA be a subgroup of a group G G. Then we …
every chief factor of GG below EE is cyclic. Let AA be a subgroup of a group G G. Then we …
On weakly m-σ-permutable subgroups of finite groups
X Wei - Communications in Algebra, 2019 - Taylor & Francis
Let σ={σ i| i∈ I} be a partition of the set of all primes P and G 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 …
subgroups of G is said to be a complete Hall σ-set of G if every member≠ 1 of H is a Hall σi …
On -propermutable Subgroups of Finite Groups
X Yi, AN Skiba - Bulletin of the Malaysian Mathematical Sciences …, 2015 - Springer
Let HH be a subgroup of a finite group G G. Then we say that HH is S S-propermutable in
GG provided GG has a subgroup BB such that G= N_ G (H) BG= NG (H) B and HH permutes …
GG provided GG has a subgroup BB such that G= N_ G (H) BG= NG (H) B and HH permutes …