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On automorphism groups of Toeplitz subshifts [PDF]
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
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On Abelian Automorphism Groups of Hypersurfaces [PDF]
Israel Journal of Mathematics, 2021 Given integers $d\ge 3$ and $N\ge 3$. Let $G$ be a finite abelian group acting faithfully and linearly on a smooth hypersurface of degree $d$ in the complex projective space $\mathbb{P}^{N-1}$.
Zheng, Zhiwei
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Automorphism groups of some families of bipartite graphs
Electronic Journal of Graph Theory and Applications, 2021 This paper discusses the automorphism group of a class of weakly semiregular bipartite graphs and its subclass called WSBEND graphs. It also tries to analyse the automorphism group of the SM sum graphs and SM balancing graphs.
K.G. Sreekumar, K. Manilal
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On Basis-Conjugating Automorphisms of Free Groups [PDF]
Canadian Mathematical Bulletin, 1986 AbstractWe investigate the problem of determining when IA(Fn(AmA)) is finitely generated for all n and m, with n ≥ 2 and m ≠ 1. If m is a nonsquare free integer then IA(Fn(AmA)) is not finitely generated for all n and if m is a square free integer then IA(Fn(AmA)) is finitely generated for all n, with n ≠ 3, and IA(F3(AmA)) is not finitely generated ...
James McCool
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On automorphism groups of affine surfaces [PDF]
, 2016 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.
Kovalenko, Sergei +2 more
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Automorphism groups of cubic fivefolds and fourfolds [PDF]
Journal of the London Mathematical Society, 2023 In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth cubic fivefolds.
Song Yang, Xun Yu, Zigang Zhu
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The automorphism groups of groups of order $p^{2} q$ [PDF]
International Journal of Group Theory, 2021 We record for reference a detailed description of the automorphism groups of the groups of order $p^{2}q$, where $p$ and $q$ are distinct primes.
Elena Campedel +2 more
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Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups [PDF]
Journal of group theroy, 2022 By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
L. Paris, Olga Varghese
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ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON SPACES OF JACOBI DIAGRAMS. II [PDF]
Journal of the Institute of Mathematics of Jussieu, 2021 The automorphism group $\operatorname {Aut}(F_n)$ of the free group $F_n$ acts on a space $A_d(n)$ of Jacobi diagrams of degree d on n oriented arcs.
Mai Katada
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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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