Results 151 to 160 of about 104,175 (189)

<i>N</i>-Aryl substituents have an influence on the photophysics of tetraaryl-pyrrolo[3,2-<i>b</i>]pyrroles.

open access: yesPhys Chem Chem Phys
Petrykowski WD   +5 more
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Codes from Dihedral 2-Groups

Mathematical Notes, 2022
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, 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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Infinite locally dihedral groups as automorphism groups

Ricerche di Matematica, 2014
It 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, 2010
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Nilpotent Covers of Dihedral Groups

Ars Combinatoria
Let 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, 2010
Let 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, 1996
An \(n\times n\) 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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Codes over dihedral groups

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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