Results 1 to 10 of about 46,736 (253)
Class groups of dihedral extensions [PDF]
Mathematische Nachrichten, 2005 AbstractLet L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p‐ranks of the class groups Cl(K) and Cl(k). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
exaly +4 more sources
The group determinants for ℤₙ × H [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let ℤₙ denote the cyclic group of order n. We show how the group determinant for G = ℤₙ × H can be simply written in terms of the group determinant for H. We use this to get a complete description of the integer group determinants for ℤ₂ × D₈ where D₈ is
Bishnu Paudel, Chris Pinner
doaj +1 more source
Application of a permutation group on sasirangan pattern
Desimal, 2021 A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati +3 more
doaj +1 more source
Public Key Protocols over Skew Dihedral Group Rings
Mathematics, 2022 This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions.
Javier de la Cruz +2 more
doaj +1 more source
Generalized dihedral CI-groups
Ars Mathematica Contemporanea, 2022 In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd prime $p$ the Sylow $p$-subgroup of $R$ has order $p$, or $9$. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd
Dobson T., Muzychuk M., Spiga P.
openaire +3 more sources
Reversing orientation homeomorphisms of surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each
Iryna Kuznietsova, Sergiy Maksymenko
doaj +1 more source
THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
Glasgow Mathematical Journal, 2004 Let $p^m$ be a power of a prime number $p$, $\mathbb{Dacute;_{p^m}$ be the dihedral group of order $2p^m$ and $k$ be a field where $p$ is invertible and containing a primitive $2p^m$-th root of unity. The aim of this paper is computing the Brauer group $BM(k,\mathbb{D}_{p^m},R_z)$ of the group Hopf algebra of $\mathbb{D}_{p^m}$ with respect to the ...
CARNOVALE, G., CUADRA, J.
openaire +2 more sources
Normal supercharacter theory of the dihedral groups [PDF]
AUT Journal of Mathematics and Computing, 2023 Diaconis and Isaacs defined the supercharacter theory for finite groups as a natural generalization of the classical ordinary character theory of finite groups.
Hadiseh Saydi
doaj +1 more source
Dihedral Group in The Ancient Genetic
Jurnal Matematika Integratif, 2020 The standard genetic code consist of four nucleotide bases which encode genes to produce amino acids needed by living things. The addition of new base (Dummy) causes a sequence of bases to become five nucleotide bases called ancient genetic codes.
Isah Aisah, Eddy Djauhari, Asep Singgih
doaj +1 more source
A Way to Construct Commutative Hyperstructures
Computer Sciences & Mathematics Forum, 2023 This article aims to create commutative hyperstructures, starting with a non-commutative group. Therefore, we consider the starting group to be the dihedral group Dn, where n is a natural number, n>1, and we determine the HX groups associated with the ...
Andromeda Sonea
doaj +1 more source