Results 151 to 160 of about 104,175 (189)
S···O Conformation Locks Synergistic Alkoxy Chain Engineering of NIR-II Phototheranostic Molecules for Precision Hepatocellular Carcinoma Theranostics. [PDF]
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Mathematical Notes, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, S., Rani, P.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, S., Rani, P.
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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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Infinite locally dihedral groups as automorphism groups
Ricerche di Matematica, 2014It is well-known that there exist groups which cannot be realized as full automorphism group of any group, obvious examples being the (non-trivial) cyclic groups of odd order and (non-trivial) free groups. It was proved by \textit{D. J. S. Robinson} [Q. J. Math., Oxf. II. Ser.
CELENTANI, MARIA ROSARIA +2 more
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Random Walks on Dihedral Groups
Journal of Theoretical Probability, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nilpotent Covers of Dihedral Groups
Ars CombinatoriaLet G be a group, and let c ∈ Z + ∪ { ∞ } . We let σ c ( G ) be the maximal size of a subset X of G such that, for any distinct x 1 , x 2 ∈ X , the group ⟨ x 1 , x 2 ⟩ is not c -nilpotent; similarly we let Σ c ( G ) be the smallest number of c -nilpotent subgroups of G whose union is equal to G .
Ngwava, Kimeu Arphaxad, Gill, Nick
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Symmetric Words in Dihedral Groups
Algebra Colloquium, 2010Let G be a group and let w = w(x1, x2,…, xn) be a word in the absolutely free group Fnon free variables x1, x2,…, xn. The set S(n)(G) of all words w such that the equality w(gσ1, gσ2,…, gσn) = w(g1, g2,…, gn) holds for all g1, g2,…, gn∈G and all permutations σ ∈ Snis a subgroup of Fn, called the subgroup of n-symmetric words for G.
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Hadamard Matrices and Dihedral Groups
Designs, Codes and Cryptography, 1996An \(n\times n\) matrix with elements \(0\) and \(1\) is called an Hadamard matrix, if the matrix \(H\) obtained from it by changing \(0\)'s to \(-1\)'s satisfies \(HH'=nI_n\). Let \(\text{D}_{2p}\) be a dihedral group of order \(2p\), where \(p\) is an odd integer and \(\mathbb{Z}\text{D}_{2p}\) be the group ring of \(\text{D}_{2p}\) over the ring ...
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Journal of Information and Optimization Sciences, 2018
In this paper we consider the group algebra FG, where characterstic of the field F does not divide order the group G, then FG is semisimple, and hence decomposes into a direct sum of minimal ideals generated by the idempotents .We give the explicit expressions for the idempotents in the group algebra of dihedral group of order 2n for every n.
Sudesh Sehrawat, Manju Pruthi
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In this paper we consider the group algebra FG, where characterstic of the field F does not divide order the group G, then FG is semisimple, and hence decomposes into a direct sum of minimal ideals generated by the idempotents .We give the explicit expressions for the idempotents in the group algebra of dihedral group of order 2n for every n.
Sudesh Sehrawat, Manju Pruthi
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