Results 31 to 40 of about 7,164 (304)

A note on the solvability of groups

Journal of Algebra, 2006
8 ...
Li, Shiheng, Shi, Wujie
openaire   +3 more sources

Two Generator Subalgebras Of Lie Algebras. [PDF]

, 2007
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman, Bowman, Kevin, Vicente R. Varea, Varea, Vicente R., Towers, David A., David A. Towers   +5 more
core   +1 more source

Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]

Theoretical and Applied Mechanics, 2020
In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
doaj   +1 more source

A remark on operating groups

International Journal of Mathematics and Mathematical Sciences, 1997
Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
doaj   +1 more source

Solvable groups derived from fuzzy hypergroups

Ratio Mathematica, 2015
In this paper we introduce the smallest equivalence relation ξ ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable group.
E. Mohammadzadeh, T. Nozari
doaj   +1 more source

Classifying families of character degree graphs of solvable groups [PDF]

International Journal of Group Theory, 2019
‎We investigate prime character degree graphs of solvable groups‎. ‎In particular‎, ‎we consider a family of graphs $Gamma_{k,t}$ constructed by adjoining edges between two complete graphs in a one-to-one fashion‎.
Mark Bissler, Jacob Laubacher
doaj   +1 more source

Finite groups with 4p2q elements of maximal order

Open Mathematics, 2021
It is an interesting and difficult topic to determine the structure of a finite group by the number of elements of maximal order. This topic is related to Thompson’s conjecture, that is, if two finite groups have the same order type and one of them is ...
Tan Sanbiao, Chen Guiyun, Yan Yanxiong
doaj   +1 more source

Solvable intransitive permutation groups with constant movement [PDF]

Journal of Mahani Mathematical Research
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei, Mehdi Alaeiyan, Zeinab Foruzanfar   +2 more
doaj   +1 more source

The Double Transitivity of a Class of Permutation Groups [PDF]

, 1962
In this thesis primitive finite permutation groups G with regular abelian subgroup H are studied. It is shown that if, for an odd prime p, H has a Sylow p-subgroup which is the direct product of two cyclic groups of different order, then G is doubly ...
Bercov, Ronald David
core   +1 more source

Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]

International Journal of Group Theory, 2020
The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their ...
Agota Figula, Ameer Al-Abayechi
doaj   +1 more source