Results 101 to 110 of about 66,912 (209)

On topological groups of automorphisms

Applied General Topology
We study spaces X for which the space Homp(X) of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces X for which Homp(X) is or is not a topological group.
Raushan Buzyakova
doaj   +1 more source

Bounding the order of automorphisms of certain curves

, 1995
We study upper bounds on the order of automorphisms of non-singular curves $X$ satisfying at least one of the following hypothesis: 1) $X$ is an $m$-sheeted covering of exactly one non-singular curve of genus $\gamma$, where $m$ is prime; 2) the center ...
Torres, Fernando
core   +1 more source

Automorphism Groups of Free Soluble Groups

Journal of Algebra, 1995
Let \(F\) be a free soluble group of derived length \(k\) and rank \(m\) and \(\Phi\) any group of automorphisms of \(F\). The author's Theorem A is that \(\Phi\) contains either a free subgroup of rank 2 or a soluble normal subgroup of finite index and derived length bounded by functions of \(k\) and \(m\) only.
openaire   +2 more sources

A FAMILY OF ARC-TRANSITIVE GRAPHS OF GIRTH AT LEAST 5 ADMITTING A SUZUKI SIMPLE GROUP

Ural Mathematical Journal
We give a construction of a new family of Deza graphs of girth at least 5 that possess an arc-transitive group of automorphisms isomorphic to a Suzuki simple group \(Sz(q)\).
Georgy A. Glinskikh, Ludmila Yu. Tsiovkina   +1 more
doaj   +1 more source

Automorphisms of Regular Wreath Product 𝑝-Groups

International Journal of Mathematics and Mathematical Sciences, 2009
We present a useful new characterization of the automorphisms of the regular wreath product group 𝑃 of a finite cyclic 𝑝-group by a finite cyclic 𝑝-group, for any prime 𝑝, and we discuss an application.
Jeffrey M. Riedl
doaj   +1 more source

Variations of Rigidity

Известия Иркутского государственного университета: Серия "Математика"
One of the main derived objects of a given structure is its automorphism group, which shows how freely elements of the structure can be related to each other by automorphisms.
S.V. Sudoplatov
doaj   +1 more source

Automorphisms of transition systems

Моделирование и анализ информационных систем, 2007
A automorphism of transitions system is an isomorphism of a system oneself. In the article are showed, that every finite group may be embedded in a group of automorphisms of a certain transition system.
Yu. A. Belov
doaj  

Extended Symmetry of Higher Painlevé Equations of Even Periodicity and Their Rational Solutions

Mathematics
The structure of the extended affine Weyl symmetry group of higher Painlevé equations of N periodicity depends on whether N is even or odd. We find that for even N, the symmetry group A^N−1(1) contains the conventional Bäcklund transformations sj,j=1,…,N,
Henrik Aratyn, José Francisco Gomes, Gabriel Vieira Lobo, Abraham Hirsz Zimerman   +3 more
doaj   +1 more source

Characterization of the automorphisms having the lifting property in the category of abelian p-groups

International Journal of Mathematics and Mathematical Sciences, 2003
Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
doaj   +1 more source

Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

Известия Иркутского государственного университета: Серия "Математика"
We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
doaj   +1 more source