Supersolvable groups - Open Access .click

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Finite Factorizable Groups with $$\mathbb P$$-Subnormal $$\mathrm v$$-Supersolvable and $$\mathrm{sh}$$-Supersolvable Factors

Mathematical Notes, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The supersolvable residual of an -group

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
Let be the class of groups possessing a subgroup of index n for each divisor n of the group order. McLain (7) initiated the formal investigation of and observed that every solvable group is a direct factor of an -group. However, subclasses of provide some interesting problems.
Ben Brewster, Malcolm Ottaway
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Finite Minimal Non-supersolvable Groups Decomposable into the Product of Two Normal Supersolvable Subgroups

Communications in Mathematics and Statistics, 2015
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Guo, Wenbin, Kondrat'ev, A. S.
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Schur indices and commutators in supersolvable groups

Journal of Group Theory, 2008
\textit{U. Riese} and \textit{P. Schmid}, [in J. Algebra 182, No. 1, 183-200 (1996; Zbl 0859.20006)], proved that if the finite group $G$ is supersolvable, then $m(\chi)$ divides $|G/G'|$ for all irreducible characters $\chi$ of $G$, where $m(\chi)$ denotes the Schur index of $\chi$ over the rational numbers.
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A Frobenius-type theorem for supersolvable groups

Publicationes Mathematicae Debrecen, 1996
Let $p$ be a prime. A group $G$ is said to be strictly $p$-closed whenever $G_p$, a Sylow $p$-subgroup of $G$ is normal in $G$ with $G/G_p$ Abelian of exponent dividing $p-1$. The main results of this paper are the following theorems: Theorem 1. Let $G$ be a $p$-solvable group and $N$ a normal subgroup of $G$ such that $G/N$
Wang, Caiyun, Guo, Xiuyun
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Artinian rings with supersolvable adjoint group

Archiv der Mathematik, 2008
The set of all elements of an associative ring R, not necessarily with a unit element, forms a monoid under the circle operation a ° b = a + b + ab. The group of all invertible elements of this monoid is called the adjoint group of R and is denoted by R°. It is proved that an artinian ring R with supersolvable adjoint group R° must be Lie supersolvable.
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Supersolvable Q-Groups

2012
One important problem in Q-gruops theory is to classify particular dasses of Q-groups.
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Frattini subgroups ofp-closed andp-supersolvable groups

Israel Journal of Mathematics, 1974
A nonabelianp-group with cyclic center cannot occur as a normal subgroup contained in the Frattini subgroup of ap-closed group. If a nonabelian normal subgroup of orderpn and nilpotence classk is contained in the Frattini subgroup of ap-closed group, then its exponent is a divisor ofpn−k.
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Cancer statistics for adolescents and young adults, 2020

Ca-A Cancer Journal for Clinicians, 2020
Kimberly D Miller +2 more
exaly

Influence of Oxygen-Containing Functional Groups on the Environmental Properties, Transformations, and Toxicity of Carbon Nanotubes

Chemical Reviews, 2020
Alyssa R Deline, Benjamin P Frank, Casey L Smith +2 more
exaly