Results 201 to 210 of about 5,884 (248)
Compacting the Time Evolution of the Forced Morse Oscillator Using Dynamical Symmetries Derived by an Algebraic Wei-Norman Approach. [PDF]
Hamilton JR, Remacle F, Levine RD.
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Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]
Bustamante M, Krannich M, Kupers A.
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Understanding and Quantifying Molecular Flexibility: Torsion Angular Bin Strings. [PDF]
Braun J +3 more
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Fusion 3-Categories for Duality Defects. [PDF]
Bhardwaj L +3 more
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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Huang H +5 more
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Automorphisms of Automorphism Group of Dihedral Groups
Creative Mathematics and Informatics, 2023The 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 the Group of Automorphisms of a Group
The American Mathematical Monthly, 2011AbstractThis note gives a generalization of the classical result asserting that if the center of a group G is trivial, then so is the center of its automorphism group Aut(G).
Marian Deaconescu, Gary L. Walls
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ON THE CENTRE OF THE AUTOMORPHISM GROUP OF A GROUP
Bulletin of the Australian Mathematical Society, 2015If the centre of a group $G$ is trivial, then so is the centre of its automorphism group. We study the structure of the centre of the automorphism group of a group $G$ when the centre of $G$ is a cyclic group. In particular, it is shown that the exponent of $Z(\text{Aut}(G))$ is less than or equal to the exponent of $Z(G)$ in this case.
Farrokhi D. G., M. +1 more
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Automorphisms of the Gersten Group
Siberian Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dudkin, F. A., Shaporina, E. A.
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