Results 1 to 10 of about 104,175 (189)
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
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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
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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
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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
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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
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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
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A new algorithm to compute fuzzy subgroups of a finite group
AIMS Mathematics, 2023 The enumeration of fuzzy subgroups is a complex problem. Several authors have computed results for special instances of groups. In this paper, we present a novel algorithm that is designed to enumerate the fuzzy subgroups of a finite group.
Adeel Farooq +3 more
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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
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Barekeng, 2022 One of the concepts in mathematics that developing rapidly today is Graph Theory. The development of Graph Theory has been combined with Group Theory, that is by representing a group in a graph.
Dewi Santri Ramdani +2 more
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On the non-commuting graph of dihedral group
Electronic Journal of Graph Theory and Applications, 2020 For a nonabelian group G, the non-commuting graph Γ of G is defined as the graph with vertex-set G-Z(G), where Z(G) is the center of G, and two distinct vertices of Γ are adjacent if they do not commute in G.
Sanhan Muhammad Salih Khasraw +2 more
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