Results 141 to 150 of about 1,094 (186)
Fibration symmetries and cluster synchronization in the Caenorhabditis elegans connectome. [PDF]
Avila B +4 more
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A constructive framework for discovery, design, and classification of volumetric Bravais weaves. [PDF]
Yildiz TT +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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DARTPHROG: A Superscalar Homomorphic Accelerator. [PDF]
Magyari A, Chen Y.
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Dimensions of Level-1 Group-Based Phylogenetic Networks. [PDF]
Gross E, Krone R, Martin S.
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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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Automorphism Groups of Nilpotent Groups
Bulletin of the London Mathematical Society, 1989Let \({\mathfrak X}\) denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in \({\mathfrak X}\), let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a \({\mathbb{Z}}\)-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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IMPRIMITIVE AUTOMORPHISM GROUPS
The Quarterly Journal of Mathematics, 1992Let \(G\) be a permutation group on a countably infinite set \(\Omega\), and for every positive integer \(k\) let \(n_ k\) denote the number of orbits under the action of \(G\) on subsets of order \(k\) of \(\Omega\). It was proved by \textit{P. J. Cameron} [Math. Z. 148, 127-139 (1976; Zbl 0313.20022)] that the sequence \((n_ k)_{k\in \mathbb{N}}\) is
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Noetherian Automorphisms of Groups
Mediterranean Journal of Mathematics, 2005An automorphism α of a group G is called a noetherian automorphism if for each ascending chain $$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$ of subgroups of G there is a positive integer m such that \(X_n^{\alpha} = X_n \) for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.
DE GIOVANNI, FRANCESCO, DE MARI, FAUSTO
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Bulletin of the London Mathematical Society, 1998
Let \(A\) be a group of automorphisms of the finite group \(G\) such that \((|A|,|G|)=1\). The authors prove that \(|A|0\), groups \(G\) and \(A\leq\Aut(G)\) can be found such that \((|A|,|G|)=1\) and \(|A|>|G|^{2-\varepsilon}\). Furthermore, if \(A\) is nilpotent of class at most 2, then \(|A|
Pálfy, P. P., Pyber, L.
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Let \(A\) be a group of automorphisms of the finite group \(G\) such that \((|A|,|G|)=1\). The authors prove that \(|A|0\), groups \(G\) and \(A\leq\Aut(G)\) can be found such that \((|A|,|G|)=1\) and \(|A|>|G|^{2-\varepsilon}\). Furthermore, if \(A\) is nilpotent of class at most 2, then \(|A|
Pálfy, P. P., Pyber, L.
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