Results 31 to 40 of about 1,123 (133)

Two-closures of supersolvable permutation groups in polynomial time [PDF]

computational complexity, 2020
The $2$-closure $\overline{G}$ of a permutation group $G$ on $Ω$ is defined to be the largest permutation group on $Ω$, having the same orbits on $Ω\timesΩ$ as $G$. It is proved that if $G$ is supersolvable, then $\overline{G}$ can be found in polynomial time in $|Ω|$.
Ilia Ponomarenko, Andrey Vasil’ev
openalex   +4 more sources

Computing Irreducible Representations of Supersolvable Groups [PDF]

Mathematics of Computation, 1994
Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time O ( n 2 log ⁡ n ) O({n^2}\log n) .
Baum, Ulrich, Clausen, Michael
openaire   +2 more sources

On Quasi S‐Propermutable Subgroups of Finite Groups

Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020
A subgroup H of a finite group G is said to be quasi S‐propermutable in G if K⊲¯G such that HK is S‐permutable in G and H ∩ K ≤ HqsG, where HqsG is the subgroup formed by all those subgroups of H which are S‐propermutable in G. In this paper, we give some generalizations of finite group G by using the properties and effects of quasi S‐propermutable ...
Hong Yang, Abid Mahboob, Asim Zafer, Iftikhar Ali, Zafar Ullah, Absar Ul Haq, Ji Gao   +6 more
wiley   +1 more source

A characterization of finite supersolvable groups

Publicationes Mathematicae Debrecen, 2012
Yangming Li, Xianhua Li
openalex   +2 more sources

Counting supersolvable and solvable group orders [PDF]

Research in Mathematics
Edward A. Bertram, Guanhong Li
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Theoretical Researches about u‐Maximal Subgroups and Its Applications in Charactering IntuG

Journal of Chemistry, Volume 2019, Issue 1, 2019., 2019
Let G be a finite group and u be the class of all finite supersoluble groups. A supersoluble subgroup U of G is called u‐maximal in G if for any supersoluble subgroup V of G containing U, V = U. Moreover, IntuG is the intersection of all u‐maximal subgroups of G.
Li Zhang, Zheng-Qun Cai, Shaohui Wang
wiley   +1 more source

A Note on the Normal Index and the c‐Section of Maximal Subgroups of a Finite Group

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K ≤ M and G = MH, we called the order of H/K the normal index of M and (M∩H)/K a section of M in G. Using the concepts of normal index and c‐section, we obtain some new characterizations of p‐solvable, 2‐supersolvable, and p‐nilpotent.
Na Tang, Xianhua Li, Junjie Wei
wiley   +1 more source

Finite Groups with Some SE‐Supplemented Subgroups

Algebra, Volume 2013, Issue 1, 2013., 2013
Let H be a subgroup of a finite group G, p a prime dividing the order of G, and P a Sylow p‐subgroup of G for prime p. We say that H is SE‐supplemented in G if there is a subgroup K of G such that G = HK and H∩K ≤ HseG, where HseG denotes the subgroup of H generated by all those subgroups of H which are S‐quasinormally embedded in G.
Guo Zhong, Liying Yang, Huaquan Wei, Xuanlong Ma, Jiayi Xia, Antonio M. Cegarra   +5 more
wiley   +1 more source

Finite Groups Whose Certain Subgroups of Prime Power Order Are S‐Semipermutable

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
Let G be a finite group. A subgroup H of G is said to be S‐semipermutable in G if H permutes with every Sylow p‐subgroup of G with (p, |H|) = 1. In this paper, we study the influence of S‐permutability property of certain abelian subgroups of prime power order of a finite group on its structure.
Mustafa Obaid, A. Kiliçman
wiley   +1 more source

On p-supersolvability of finite groups

Proceedings - Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources