Results 61 to 70 of about 94 (79)

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

Supersolvable Subgroups of Order Divisible by 3

Results in Mathematics
We determine the structure of the finite non-solvable groups of order divisible by 3 all whose maximal subgroups of order divisible by 3 are supersolvable.
Antonio Beltran, Changguo Shao, Beltran Antonio   +2 more
exaly   +2 more sources

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

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  

Finite groups whose maximal subgroups of order divisible by all the primes are supersolvable

Monatshefte Fur Mathematik, 2021
Alexander Moreto, Moreto Alexander
exaly  

Tests for solvability and supersolvability of finite groups

Siberian Mathematical Journal, 1967
openaire   +1 more source

Finite groups with supersolvable subgroups of even order

Ricerche Di Matematica, 2021
Wei Meng, Jiakuan Lu, Lu Jiakuan
exaly  

Formations and Products of F(G)-Subnormal Subgroups of Finite Solvable Groups

Mathematical Notes, 2020
A F Vasil'Ev, V I Murashka, Vasil'Ev A F
exaly