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Automorphisms of Automorphism Group of Dihedral Groups

Creative Mathematics and Informatics, 2023
The automorphism group of a Dihedral group of order 2n is isomorphic to the holomorph of a cyclic group of order n. The holomorph of a cyclic group of order n is a complete group when n is odd. Hence automorphism groups of Dihedral groups of order 2n are its own automorphism groups whenever n is odd. In this paper, we prove that the result is also true
Sajikumar, Sadanandan   +2 more
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On Automorphism Groups of the Fields of Automorphic Functions

The Annals of Mathematics, 1972
The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact,
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Lip Automorphism Germ and Lip Automorphism

Acta Mathematica Sinica, English Series, 2004
A continuous map \(f: X\to Y\) between metric spaces is called a Lip map if for every \(x\in X\), there is an open neighborhood \(U_x\) of \(x\) in \(X\) such that \(f\mid U_x\) is Lipschitz. If \(f\) is a homeomorphism and \(f\) and \(f^{-1}\) are Lip maps, \(f\) is called a Lip homeomorphism. A topological \(n\)-bundle \((E,\pi,X)\) is called a Lip \(
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Induced Automorphisms

2014
Conference held at the Centre de Recerca Matematica ; International ...
Guirardel, Vincent, Levitt, Gilbert
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Automorphisms that commute with a modular automorphism

Letters in Mathematical Physics, 1984
It might be expected that the existence of automorphisms of the \(C^*\)- algebra A of quantum statistics that commute with the time automorphism, can give some insight into ergodic properties, as the existence of independent constants of motion do in classical dynamics.
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Half-automorphisms of free automorphic moufang loops

Mathematical Notes, 2015
In this note the authors study half-automorphisms of Moufang loops. They show that \textit{W. R. Scott}'s results [in Proc. Am. Math. Soc. 8, 1141-1144 (1958; Zbl 0080.24504)] hold for free automorphic Moufang loops. According to the authors for arbitrary automorphic Moufang loops, this is not known yet. The result of the authors is Theorem 3: Let \(A\)
Grishkov, A.   +3 more
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The Automorphism Group of Plane Algebraic Curves with Singer Automorphisms

Designs, Codes and Cryptography, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Cossidente, Alessandro Siciliano
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Lifting Automorphisms

K-Theory, 1999
Let \(E\) be an essential extension \(0\to{\mathcal K}\to E@>\pi>> A\to 0\) given by a monomorphism \(\tau: A\to\text{End}(\ell^2)/{\mathcal K}\), where \(A\) is a separable \(C^*\)-algebra, \({\mathcal K}\) is the \(C^*\)-algebra of compact operators on the Hilbert space \(\ell^2\).
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Smooth-Automorphic Forms and Smooth-Automorphic Representations

2021
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class ...
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Automorphisms and Recursive Structures

Mathematical Logic Quarterly, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodney G. Downey, Jeffrey B. Remmel
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