Results 61 to 70 of about 163,882 (275)

The automorphism group of a minimal shift of stretched exponential growth [PDF]

, 2015
The group of automorphisms of a symbolic dynamical system is countable, but often very large. For example, for a mixing subshift of finite type, the automorphism group contains isomorphic copies of the free group on two generators and the direct sum of ...
Van Cyr, Bryna Kra
semanticscholar   +1 more source

THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY [PDF]

Forum of Mathematics, Sigma, 2014
For a finite alphabet ${\mathcal{A}}$ and shift $X\subseteq {\mathcal{A}}^{\mathbb{Z}}$ whose factor complexity function grows at most linearly, we study the algebraic properties of the automorphism group $\text{Aut}(X)$.
Van Cyr, Bryna Kra
semanticscholar   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

∇-prime rings and their commutativity

Journal of Taibah University for Science, 2023
Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text ...
Mohammad Aslam Siddeeque, Abbas Hussain Shikeh   +1 more
doaj   +1 more source

On automorphism groups of affine surfaces [PDF]

, 2015
This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite-dimensional, these automorphism groups share some important features of algebraic groups.
S. Kovalenko, A. Perepechko, M. Zaidenberg   +2 more
semanticscholar   +1 more source

Every group has a terminating transfinite automorphism tower

, 1998
The automorphism tower of a group is obtained by computing its automorphism group, the automorphism group of THAT group, and so on, iterating transfinitely.
Hamkins, Joel David
core   +1 more source

Equivalence classes of matrices over a finite field

International Journal of Mathematics and Mathematical Sciences, 1979
Let Fq=GF(q) denote the finite field of order q and F(m,q) the ring of m×m matrices over Fq. Let Ω be a group of permutations of Fq. If A,BϵF(m,q) then A is equivalent to B relative to Ω if there exists ϕϵΩ such that ϕ(A)=B where ϕ(A) is computed by ...
Gary L. Mullen
doaj   +1 more source

FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES

Forum of Mathematics, Sigma, 2014
Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
doaj   +1 more source

On weak (σ, δ)-rigid rings over Noetherian rings

Acta Universitatis Sapientiae: Mathematica, 2020
Let R be a Noetherian integral domain which is also an algebra over ℚ (ℚ is the field of rational numbers). Let σ be an endo-morphism of R and δ a σ-derivation of R.
Bhat Vijay Kumar, Singh Pradeep, Sharma Sunny   +2 more
doaj   +1 more source

On the group of automorphisms of the algebra of plural numbers

Дифференциальная 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, G. A. Sultanova, O. A. Monakhova   +2 more
doaj   +1 more source