Results 21 to 30 of about 5,422,708 (286)

Compatibility of Balanced and SKT Metrics on Two-Step Solvable Lie Groups [PDF]

, 2023
It has been conjectured by Fino and Vezzoni that a compact complex manifold admitting both a compatible SKT and a compatible balanced metric also admits a compatible Kähler metric.
Freibert, Marco Karl, Swann, Andrew
core   +1 more source

Some remarks on unipotent automorphisms [PDF]

International Journal of Group Theory, 2020
An automorphism $\alpha$ of the group $G$ is said to be $n$-unipotent if $[g,_n\alpha]=1$ for all $g\in G$‎. ‎In this paper we obtain some results related to nilpotency of groups of $n$-unipotent automorphisms of solvable groups‎.
Orazio Puglisi, Gunnar Traustason
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

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

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

Finite BCI-groups are solvable [PDF]

International Journal of Group Theory, 2016
‎Let $S$ be a subset of a finite group $G$‎. ‎The bi-Cayley graph ${rm BCay}(G,S)$ of $G$ with respect to $S$ is an undirected graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid xin G‎, ‎ sin S}$‎. ‎A bi-Cayley graph ${rm BCay}(G,S)$ is
Majid Arezoomand, Bijan Taeri
doaj  

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