Results 61 to 70 of about 5,418,532 (71)

Criteria for the p-solvability and p-supersolvability of finite groups

Mathematical Notes, 2013
A subgroup \(A\) of a finite group \(G\) \textit{covers} the maximal pair \((K,H)\), where \(K\) and \(H\) are subgroups of \(G\) such that \(K\) is a maximal subgroup of \(H\), if \(AH=AK\) and \textit{avoids} \((K,H)\) if \(A\cap K=A\cap H\). Every permutable subgroup covers or avoids every maximal pair, but the converse is not true in general.
Liu, Yufeng, Guo, Wenbin, Kovaleva, V. A., Skiba, A. N.   +3 more
openaire   +1 more source

Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs

Publicationes Mathematicae Debrecen, 2002
Summary: For a finite group \(G\), \(D_p(G)\) is a generalization of the Frattini subgroup of \(G\). We obtain some results on \(\pi\)-solvable and supersolvable groups with the help of \(D_p(G)\) using \(\theta\)-pairs.
Dutta, T. K., Sen, P.
openaire   +1 more source

Notes on Solvability andp-Supersolvability of Finite Groups

Algebra Colloquium, 2019
A subgroup H of G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and HiB < G for every maximal subgroup Hiof H. In this paper, we use ℳ-supplemented subgroups to study the structure of finite groups and obtain some new characterization about solvability and p-supersolvability for a fixed prime p. Some results in the
Jia Zhang, Tingting Qiu, Long Miao, Juping Tang   +3 more
openaire   +1 more source

Indices of non-supersolvable maximal subgroups in finite groups

Ricerche Di Matematica
Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvability of finite groups in which all maximal subgroups have prime or squared ...
Antonio Beltran, Changguo shao
exaly   +2 more sources

On derived ??-length of a finite ??-solvable group with supersolvable ??-Hall subgroup

2019
It is proved that if ??-Hall subgroup is a supersolvable group then the derived ??-length of a ??-solvable group G is at most 1 + maxr????? l??r(G), where l??r(G) is the derived r-length of a ??-solvable group G.
Monakhov, V.S., Gritsuk, D.V.
openaire   +2 more sources

Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras

Linear and Multilinear Algebra, 2022
David A Towers
exaly  

On supersolvable saturated fusion systems

Monatshefte Fur Mathematik, 2018
Ning Su
exaly  

A note on p-supersolvable groups

Acta Mathematica Hungarica, 2007
exaly  

Finite Minimal Non-σ \sigma -Supersolvable Groups

Siberian Mathematical Journal
Olga Shemetkova
exaly  

Supersolvable Subgroups of Order Divisible by 3

Results in Mathematics
Antonio Beltran, Changguo shao
exaly