Results 71 to 80 of about 5,389,809 (116)

Nilpotent by Supersolvable M-Groups

Canadian Journal of Mathematics, 1985
A character of a finite group G is monomial if it is induced from a linear (degree one) character of a subgroup of G. A group G is an M-group if all its complex irreducible characters (the set Irr(G)) are monomial.In [1], Dade gave an example of an M-group with a normal subgroup which is itself not an M-group. In his group G, the supersolvable residual
Alan E. Parks
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

On Supersolvable Groups and the Nilpotator

Communications in Algebra, 2004
Abstract A finite group G is called G a 𝒯-group if each subnormal subgroup of G is normal in G and a subgroup K of G is called an ℋ-subgroup of G if N G (K) ∩ K g  ⊆ K for all g ∈ G. Using the notion of ℋ-subgroups, we present some new conditions for supersolvability and we characterize supersolvable groups, which are either 𝒯-groups or
Marcel Herzog
exaly   +2 more sources

A note on p-supersolvable groups

Acta Mathematica Hungarica, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, R. S., Zhang, Q. H.
exaly   +2 more sources

On Supersolvable Groups and a Theorem of Huppert

Canadian Mathematical Bulletin, 1990
AbstractWe obtain the following generalization of a well known result of Huppert. If p is the largest primer divisor of the order of a finite group G and q is any prime distinct from p, then G is supersolvable if and only if every maximal subgroup whose index is relatively prime to either p or q, has prime index.
N. P. Mukherjee, Prabir Bhattacharya
openaire   +2 more sources

Some sufficient conditions for a finite group to be supersolvable

Acta Mathematica Hungarica, 2011
The authors extend the results of \textit{Ya. G. Berkovich} [Mat. Sb., N. Ser. 74(116), 75-92 (1967); translation in Math USSR, Sb. 3(1967), 69-83 (1969; Zbl 0183.02901)] and \textit{M. Asaad} [Commun. Algebra 38, No. 10, 3616-3620 (2010; Zbl 1205.20026)] by proving the following. Theorem~1.1. Let \(G\) be a group of odd order. Let \(G=G_1G_2\cdots G_n\
V S Monakhov, M Asaad
exaly   +3 more sources

Supersolvable orders and inductively free arrangements

Open Mathematics, 2017
In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order.
Ruimei Gao
exaly   +3 more sources

On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

Mathematics, 2022
Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving ...
Yubo Lv, Yangming Li
exaly   +2 more sources

A criterion for p-supersolvability of finite groups

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be a finite group and [Formula: see text] a subgroup of [Formula: see text] We say that [Formula: see text] is an [Formula: see text]-subgroup of [Formula: see text] if [Formula: see text] for all [Formula: see text] [Formula: see text] is called weakly [Formula: see text]-embedded in [Formula: see text] if [Formula: see text ...
Asaad, M., Ramadan, M., Wei, Huaquan
openaire   +2 more sources

On the supersolvable residual of an M-group

Journal of Algebra and Its Applications, 2018
Using the technique of linear limits of characters due to Dade and Loukaki, we give some conditions on the supersolvable residual of a finite solvable group [Formula: see text] that is sufficient to guarantee that [Formula: see text] is an [Formula: see text]-group. The monomiality of normal subgroups and Hall subgroups of the group [Formula: see text]
Zheng, Huijuan, Jin, Ping
openaire   +1 more source

Criteria for p-supersolvability of a finite group

Journal of Algebra and Its Applications, 2022
In this paper, we investigate the [Formula: see text]-supersolvability of a finite group in which some [Formula: see text]-subgroups satisfy a subgroup embedding property and we extend some known results.
Zhang, Boru, Li, Binbin, Lu, Jiakuan
openaire   +1 more source