Results 31 to 40 of about 8,796 (305)

A Class of Solvable Groups [PDF]

Canadian Journal of Mathematics, 1959
Numerous studies have been made of groups, especially of finite groups, G which have a representation in the form AB, where A and B are subgroups of G. The form of these results is to determine various grouptheoretic properties of G, for example, solvability, from other group-theoretic properties of the subgroups A and B.More recently the structure of ...
Gorenstein, Daniel, Herstein, I. N.
openaire   +2 more sources

Karakterisasi Subgrup Sylow Solvable Dari Grup Poin Senyawa Fosfor Pentaklorida

Jurnal Sains Dasar, 2017
Setiap molekul atau senyawa kimia memiliki operasi simetri yang mendeskripsikan keseluruhan karakter dari molekul tersebut. Himpunan dari semua operasi simetri yang berlaku pada suatu senyawa akan membentuk suatu grup.
Ema Carnia Carnia, Sisilia Sylviani, Elah Dewia   +2 more
doaj   +1 more source

Finite Almost Simple Groups whose Holomorph Contains a Solvable Regular Subgroup [PDF]

Advances in Group Theory and Applications
In our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups.
Cindy (Sin Yi)Tsang
doaj   +1 more source

On two Möbius functions for a finite non-solvable group

, 2021
Let G be a finite group, μ be the Möbius function on the subgroup lattice of G, and λ be the Möbius function on the poset of conjugacy classes of subgroups of G.
Zini G., Dalla Volta F.
core   +1 more source

A characterization of $A_5$ by its average order [PDF]

International Journal of Group Theory
Let $o(G)$ be the average order of a finite group $G$. M. Herzog, P. Longobardi and M. Maj [M. Herzog, P. Longobardi and M. Maj, Another criterion for solvability of finite groups, J. Algebra, 597 (2022) 1-23.] showed that if $G$ is non-solvable and $o(G)
Marius Tarnauceanu
doaj   +1 more source

F^ω-injectors of finite groups [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Only finite groups and classes of finite groups are considered. $\frak F$-injectors (B. Fischer, W. Gaschutz, B. Hartley, 1967) and $\frak F$-projectors (W.
Sorokina, Marina M., Novikova, Diana G.
doaj   +1 more source

On the Representations of M-Groups

مجلة بغداد للعلوم, 2016
The main object of this paper is to study the representations of monomial groups and characters technique for representations of monomial groups. We refer to monomial groups by M-groups.
Baghdad Science Journal
doaj   +1 more source

On LCK solvmanifolds with a property of Vaisman solvmanifolds

Complex Manifolds, 2022
The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.
Sawai Hiroshi
doaj   +1 more source

On invariant ideals in group rings of torsion-free minimax nilpotent groups

Researches in Mathematics, 2023
Let $k$ be a field and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank. In the presented paper we study properties of some types of $G$-invariant ideals of the group ring $kN$.
A.V. Tushev
doaj   +1 more source

Finite p′-nilpotent groups. I

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we consider finite p′-nilpotent groups which is a generalization of finite p-nilpotent groups. This generalization leads us to consider the various special subgroups such as the Frattini subgroup, Fitting subgroup, and the hypercenter in ...
S. Srinivasan
doaj   +1 more source