Results 21 to 30 of about 105,161 (275)

The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]

Journal of Fuzzy Extension and Applications, 2022
A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi, Mike Ogiugo, Michael Enioluwafe   +2 more
doaj   +1 more source

Sumsets in dihedral groups

European Journal of Combinatorics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shalom Eliahou, Michel Kervaire
openaire   +3 more sources

Dihedral Groups as Epimorphic Images of Some Fibonacci Groups

Sultan Qaboos University Journal for Science, 2013
The Fibonacci groups are defined by the presentation where ,  and all subscripts are assumed to be reduced modulo . In this paper we give an alternative proof that for , ,  and  are all infinite by establishing a morphism (or group homomorphism) onto the ...
Abdullahi Umar, Bashir Ali
doaj   +1 more source

Limits of dihedral groups [PDF]

Geometriae Dedicata, 2009
We give a characterization of limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space of marked groups on a fixed number of generators.
openaire   +3 more sources

Simulations of Cayley graphs of dihedral group [PDF]

ITM Web of Conferences
Let Γ be a finite group with identity element e and let S ⊆ Γ − {e} which is inverse-closed, i.e., S = S−1 := {s−1 : s ∈ S}. An undirected Cayley graph on a group Γ with connection set S, denoted by Cay(Γ, S), is a graph with vertex set Γ and edges xy ...
Farhan Mohammad, John Peter, Silaban Denny Riama   +2 more
doaj   +1 more source

The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph.
Evi Yuniartika Asmarani, Sahin Two Lestari, Dara Purnamasari, Abdul Gazir Syarifudin, Salwa Salwa, I Gede Adhitya Wisnu Wardhana   +5 more
doaj   +1 more source

Automorphisms of the Dihedral Groups [PDF]

Proceedings of the National Academy of Sciences, 1942
Not ...
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Polytopes associated to dihedral groups

Ars Mathematica Contemporanea, 2013
In this note we investigate the convex hull of those $n \times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.
Barbara Baumeister, Christian Haase 0001, Benjamin Nill 0001, Andreas Paffenholz   +3 more
openaire   +5 more sources

The Structures of Non-Coprime Graphs for Finite Groups from Dihedral Groups with Regular Composite Orders

InPrime, 2023
For any finite group, the non-coprime graph of the group is a graph with vertices consisting of all non-identity elements of the group. Two different vertices are considered adjacent if their orders are not coprime, meaning their greatest common divisor (
Sita Armi Aulia, I Gede Adhitya Wisnu Wardhana, Irwansyah Irwansyah, Salwa Salwa, Wahyu Ulyafandhie Misuki, Nguyen Dang Hoa Nghiem   +5 more
doaj   +1 more source

The real genus of cyclic by dihedral and dihedral by dihedral groups

Journal of Algebra, 2006
Every finite group acts as an automorphism group of several bordered compact Klein surfaces. The minimal genus of these surfaces is called the real genus. At first, the authors of this paper complete May's discussions about the real genus of groups \(C_m\times D_n\) (where \(C_m\) is a cyclic group).
Etayo Gordejuela, José Javier, Martínez, Ernesto   +1 more
openaire   +2 more sources