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On automorphism groups of Toeplitz subshifts [PDF]
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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FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP [PDF]
For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ +1 more
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The automorphism groups of groups of order $p^{2} q$ [PDF]
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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Existentially and $\kappa$-existentially closed groups [PDF]
A group $G$ is existentially closed (algebraically closed) if every finite system of equations and in-equations that has coefficients in $G$ and has a solution in an overgroup $H\geq G$ has a solution in $G$.
Burak Kaya, Mahmut Kuzucuoğlu
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On the automorphism groups of some Leibniz algebras [PDF]
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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Automorphism groups of some variants of lattices
In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space
O.G. Ganyushkin, O.O. Desiateryk
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On Abelian Automorphism Groups of Hypersurfaces [PDF]
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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1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$ [PDF]
In this paper, some designs from the primitive permutation representations of the groups $PSL_2(81)$ and $PSL_2(89)$ are constructed using the Key-Moori Method 1. We determine the automorphism groups of all the obtained designs and prove that the groups $
Reza Kahkeshani
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AUTOMORPHISM GROUPS OF QUANDLES [PDF]
We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed +2 more
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Semi-automorphisms of groups [PDF]
A semi-automorphism of a group G is a 1-1 mapping, X, of G onto itself such that 0(aba) =4(a)o(b)4(a) for all a, bEG. The nature of such mappings, in the special cases when G is the symmetric or alternating group (finite or infinite) and in a few other examples, was determined by Dinkines [I], who showed they must be automorphisms or anti-automorphisms.
Herstein, I. N., Ruchte, M. F.
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