Results 41 to 50 of about 121,014 (235)

On finite $p$-groups whose automorphisms are all central

open access: yes, 2011
An automorphism $\alpha$ of a group $G$ is said to be central if $\alpha$ commutes with every inner automorphism of $G$. We construct a family of non-special finite $p$-groups having abelian automorphism groups. These groups provide counter examples to a
A. Jamali   +21 more
core   +1 more source

R ( 5 , 5 ) ≤ 46 $R(5,5)\le 46$

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT We prove that the Ramsey number R ( 5 , 5 ) $R(5,5)$ is less than or equal to 46. The proof uses a combination of linear programming and checking a large number of cases by computer. All of the computational parts of the proof were independently implemented by both authors, with consistent results.
Vigleik Angeltveit, Brendan D. McKay
wiley   +1 more source

A Berezin-type map and a class of weighted composition operators

open access: yesConcrete Operators, 2017
In this paper we consider the map L defined on the Bergman space La2(𝔺+)$L_a^2({{\rm\mathbb{C}}_{\rm{ + }}})$ of the right half plane ℂ+ by (Lf)(w)=πM′(w)∫𝔺+(fM′)(s)|bw(s)|2dA˜(s)$(Lf)(w) = \pi M'(w)\int\limits_{{{\rm\mathbb{C}}_{\rm{ + }}}} {\left( {{f \
Das Namita
doaj   +1 more source

Class-preserving Coleman automorphisms of some classes of finite groups

open access: yesOpen Mathematics, 2022
The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj   +1 more source

On the group of automorphisms of the algebra of plural numbers

open access: yesДифференциальная геометрия многообразий фигур, 2023
The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov   +2 more
doaj   +1 more source

Automorphism-liftable modules [PDF]

open access: yesJournal of Algebra and Its Applications, 2021
In this paper, we describe all automorphism-liftable torsion modules over non-primitive hereditary Noetherian prime rings. We also study automorphism-liftable non-torsion modules over not necessarily commutative Dedekind prime rings.
openaire   +3 more sources

Signed Projective Cubes, a Homomorphism Point of View

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen   +2 more
wiley   +1 more source

Some Classification Theorems and Endomorphisms in New Classes

open access: yesMathematics, 2023
Let ℧ be a prime ring of char(℧) ≠2 with its center Z. This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings.
Hafedh Alnoghashi   +4 more
doaj   +1 more source

Automorphism Groups of Geometrically Represented Graphs [PDF]

open access: yes, 2015
We describe a technique to determine the automorphism group of a geometrically represented graph, by understanding the structure of the induced action on all geometric representations.
Klavík, Pavel, Zeman, Peter
core  

The twisted Grassmann graph is the block graph of a design

open access: yes, 2009
In this note, we show that the twisted Grassmann graph constructed by van Dam and Koolen is the block graph of the design constructed by Jungnickel and Tonchev.
Munemasa, Akihiro, Tonchev, Vladimir D.
core   +1 more source

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