Results 31 to 40 of about 1,529 (200)

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
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The Groups of Isometries of Metric Spaces over Vector Groups

Mathematics, 2022
In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
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On automorphisms of biproducts [PDF]

Communications in Algebra, 2016
We study certain subgroups of the full group of Hopf algebra automorphisms of a biproduct. In the process interesting subgroups of certain permutation groups come into play.
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On the Orbit Problem of Free Lie Algebras

Journal of New Theory, 2023
By operationalizing $F_{n}$ as a free Lie Algebra of finite rank $n$, this work considers the orbit problem for $F_{n}$. The orbit problem is the following: given an element $u\in F_{n}$ and a finitely generated subalgebra $H$ of $F_{n}$, does $H$ meet ...
Zeynep Yaptı Özkurt
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Braiding groups of automorphisms and almost-automorphisms of trees

Canadian Journal of Mathematics, 2023
AbstractWe introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties. This generalizes work of Aroca and Cumplido, and the first author and Wu, who considered the case when the self-similar groups are what we call “self-identical.” In particular, we use a braided version of the Grigorchuk ...
Rachel Skipper, Matthew C. B. Zaremsky
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Automorphisms on complex simple Lie algebras of order 3

Kuwait Journal of Science, 2022
For complex simple Lie algebras, the article provides classification of all automorphisms of order 3. The method is an extension of Dynkin diagrams, so that the classification is a listing of diagrams which represent automorphisms of order 3.
Ching-I Hsin
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Topological rigidity of automorphism systems

Nantong Daxue xuebao. Ziran kexue ban
This paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces. First, the notion of continuous strong orbit equivalence for automorphism systems is introduced and it is proved that ...
QIANG Xiangqi
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Automorphisms of free braided nonassociative algebras of rank 2

Қарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip, B.A. Duisengaliyeva, A.S. Naurazbekova   +2 more
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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
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Solutions and Stability of Generalized Kannappan’s and Van Vleck’s Functional Equations

Annales Mathematicae Silesianae, 2018
We study the solutions of the integral Kannappan’s and Van Vleck’s functional equations ∫Sf(xyt)dµ(t)+∫Sf(xσ(y)t)dµ(t)= 2f(x)f(y), x,y ∈ S; ∫Sf(xσ(y)t)dµ(t)-∫Sf(xyt)dµ(t)= 2f(x)f(y), x,y ∈ S; where S is a semigroup, σ is an involutive automorphism of S ...
Elqorachi Elhoucien, Redouani Ahmed
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