Results 61 to 70 of about 119,920 (234)
CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
Shirin Fouladi
doaj
Automorphism liftable modules [PDF]
The article introduces a notion of automorphism liftable modules and discusses its basic properties. This notion is thereafter used to characterize several well-known specific rings, like semisimple, perfect, (semi-)hereditary rings, respectively. Note that in this paper, semisimple rings and completely reducible rings are the same, i.e., they are ...
Selvaraj, Chelliah +1 more
openaire +2 more sources
Rings of Invariant Module Type and Automorphism-Invariant Modules [PDF]
A module is called automorphism-invariant if it is invariant under any automorphism of its injective hull. In [Algebras for which every indecomposable right module is invariant in its injective envelope, Pacific J. Math., vol. 31, no.
Ashish, K. Srivastava, Surjeet Singh
core
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
The Orbits of Twisted Crossed Cubes
Two vertices u and v in a graph G=(V,E) are in the same orbit if there exists an automorphism ϕ of G such that ϕ(u)=v. The orbit number of a graph G, denoted by Orb(G), is the number of orbits that partition V(G).
Jia-Jie Liu
doaj +1 more source
Counting Independent Sets in Percolated Graphs via the Ising Model
ABSTRACT Given a graph G$$ G $$, we form a random subgraph Gp$$ {G}_p $$ by including each edge of G$$ G $$ independently with probability p$$ p $$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex‐isoperimetric properties, extending the work of ...
Anna Geisler +3 more
wiley +1 more source
On Some Properties of the Operator, Defined on Class of Analytic in the Half-Plane Functions
In present paper the properties of the operator introduced by authors, which is defined on special class of n-normalized analytic in the half-plane functions are investigated. This operator is closely related with automorphism of a half-plane.
J. Kirjackis, E. G. Kiriyatzkii
doaj +1 more source
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj +1 more source
On a Dimension Formula for Twisted Spherical Conjugacy Classes in Semisimple Algebraic Groups [PDF]
Let $G$ be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let $\th$ be an automorphism of $G$. We give a characterization of $\th$-twisted spherical conjugacy classes in $G$ by a formula for their ...
Lu, Jiang-Hua
core
Double automorphisms of graded Lie algebras
We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear that the set of all double automorphisms of L forms a subgroup in Aut(L).
Acciarri, Cristina, Shumyatsky, Pavel
core +1 more source

