Results 211 to 220 of about 37,517 (252)

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
openaire   +2 more sources

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 .
Kimeu Arphaxad Ngwava, Nick Gill
openaire   +2 more sources

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 ...
openaire   +1 more source

Difference sets in dihedral groups

Designs, Codes and Cryptography, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leung, K.H., Ma, S.L., Wong, Y.L.
openaire   +2 more sources

The Neighbourhood of Dihedral 2-Groups

Acta Applicandae Mathematicae, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bálek, Martin   +2 more
openaire   +2 more sources

Home - About - Disclaimer - Privacy