Laws of the Lattices of $$\sigma $$-Local Formations of Finite Groups
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01510-w
Abstract: Let n be a positive integer, and let $$\sigma = \{\sigma _i \mid i \in I\}$$ be a partition of the set of all primes. It is shown that every law of the lattice of… read more here.
Keywords: local formations; finite groups; formations finite; sigma local ... See more keywords
Characterising bimodal collections of sets in finite groups
Sign Up to like & getrecommendations! Published in 2019 at "Archiv der Mathematik"
DOI: 10.1007/s00013-019-01361-2
Abstract: A collection of disjoint subsets ${\cal A}=\{A_1,A_2,\dotsc,A_m\}$ of a finite abelian group is said to have the \emph{bimodal} property if, for any non-zero group element $\delta$, either $\delta$ never occurs as a difference between an… read more here.
Keywords: collections sets; sets finite; finite groups; element ... See more keywords
Minimal Non-Iwasawa Finite Groups
Sign Up to like & getrecommendations! Published in 2018 at "Results in Mathematics"
DOI: 10.1007/s00025-018-0907-5
Abstract: In this note, we describe first the structure of minimal non-Iwasawa finite groups. Then we determine the minimal non-Iwasawa finite groups which are modular. Also, we find connections between minimal non-Iwasawa finite groups and the… read more here.
Keywords: finite groups; minimal non; iwasawa finite; non iwasawa ... See more keywords
On S-semipermutable or S-permutably embedded subgroups of finite groups
Sign Up to like & getrecommendations! 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
Finite groups with certain kind of subgroups weakly c-supplemented
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0738-y
Abstract: Let G be a finite group. A subgroup H of G is called an $${\mathcal{H}}$$H-subgroup in G if $${N_{G}(H)\cap H^{g} \leq H}$$NG(H)∩Hg≤H for all $${g\in G}$$g∈G. A subgroup H of G is called weakly c-supplemented… read more here.
Keywords: finite groups; subgroup; certain kind; weakly supplemented ... See more keywords
The influence of $$IC\Phi$$-subgroups on the structure of finite groups
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-020-01122-6
Abstract: A subgroup $$H$$ of a group G is called an $$IC\Phi$$ -subgroup of G if $$H\cap [H,G]\leq \Phi(H)$$ . We investigate the structure of a finite group G under the assumption that some subgroups of… read more here.
Keywords: finite groups; influence phi; structure finite; phi subgroups ... See more keywords
On the Relationships Between Central Series in Some Locally Finite Groups
Sign Up to like & getrecommendations! Published in 2017 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-017-1318-6
Abstract: It is shown that the class of locally finite divisible-by-bounded groups is both a Schur class and a Baer class. read more here.
Keywords: relationships central; finite groups; series locally; class ... See more keywords
On the Crossing of Maximal Subgroups of Finite Groups
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-020-01740-x
Abstract: We establish the structure of normal subgroups in θ -Frattini extensions, where θ is a subgroup functor. For a local Fitting structure F $$ \mathfrak{F} $$ containing all nilpotent groups, it is shown that, in… read more here.
Keywords: finite groups; maximal subgroups; structure; mathfrak ... See more keywords
On Soluble Radicals of Finite Groups
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-020-01788-9
Abstract: Assume that G is a finite group, π(G) = {s} ∪ σ, s > 2, Σ is a set of Sylow σ-subgroups in which one subgroup is taken for each pi 2 σ, and R(G)… read more here.
Keywords: soluble radicals; finite groups; subgroup; radicals finite ... See more keywords
Finite Groups with ℙ-Subnormal Sylow Subgroups
Sign Up to like & getrecommendations! Published in 2021 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-021-01872-8
Abstract: Let ℙ be the set of all prime numbers. A subgroup H of a finite group G is called ℙ-subnormal if either H = G or there exists a chain of subgroups H = H0 ≤ H1 ≤ … ≤ Hn = G such that… read more here.
Keywords: subnormal sylow; finite groups; sylow subgroups; groups subnormal ... See more keywords
Finite groups whose n-maximal subgroups are σ-subnormal
Sign Up to like & getrecommendations! Published in 2019 at "Science China Mathematics"
DOI: 10.1007/s11425-016-9211-9
Abstract: Let σ = {σi | i ∈ I} be some partition of the set of all primes P. A set H of subgroups of G is said to be a complete Hallσ-set of G if… read more here.
Keywords: finite groups; subgroup; maximal subgroup; hall ... See more keywords