Results 41 to 50 of about 163,882 (275)
Dual automorphism-invariant modules [PDF]
, 2012 A module $M$ is called an automorphism-invariant module if every isomorphism between two essential submodules of $M$ extends to an automorphism of $M$. This paper introduces the notion of dual of such modules.
Singh, S., Srivastava, Ashish K.
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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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Automorphisms of character varieties [PDF]
Annales Henri Lebesgue, 2021 We show that the algebraic automorphism group of the SL(2,C) character variety of a closed orientable surface with negative Euler characteristic is a finite extension of its mapping class group. Along the way, we provide a simple characterization of the valuations on the character algebra coming from measured laminations.
Marché, Julien +1 more
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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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Automorphism groups of finite topological rank [PDF]
Transactions of the American Mathematical Society, 2017 We offer a criterion for showing that the automorphism group of an ultrahomogeneous structure is topologically 2-generated and even has a cyclically dense conjugacy class.
Itay Kaplan, Pierre Simon
semanticscholar +1 more source
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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On automorphism groups of low complexity subshifts [PDF]
Ergodic Theory and Dynamical Systems, 2015 In this article, we study the automorphism group $\text{Aut}(X,{\it\sigma})$ of subshifts $(X,{\it\sigma})$ of low word complexity. In particular, we prove that $\text{Aut}(X,{\it\sigma})$ is virtually $\mathbb{Z}$ for aperiodic minimal subshifts and ...
S. Donoso +3 more
semanticscholar +1 more source
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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Reflexivity of the automorphism and isometry groups of the suspension of $B(H)$ [PDF]
, 1997 The aim of this paper is to show that the automorphism and isometry groups of the suspension of $B(H)$, $H$ being a separable infinite dimensional Hilbert space, are algebraically reflexive.
Gyory, M., Molnar, Lajos
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$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
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