Results 21 to 30 of about 104,175 (189)

THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER

Journal of Kufa for Mathematics and Computer, 2010
For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas, Mohammed Shakir Mahdi   +1 more
doaj   +1 more source

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

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

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

Sumsets in dihedral groups

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

The extreme vertices of the power graph of a group

Heliyon, 2022
For a fixed finite group G, the power graph of G was defined to be the simple graph Γ(G) whose vertex set V(Γ(G))=G, and edge set E(Γ(G))={xy: either x=yn or y=xn for some integer n}.
Omar A. AbuGhneim, Mohammed Abudayah
doaj   +1 more source

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

Topological Indices of the Relative Coprime Graph of the Dihedral Group

JTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Assuming that G is a finite group and H is a subgroup of G, the graph known as the relative coprime graph of G with respect to H (denoted as Γ_(G,H)) has vertices corresponding to elements of G.
Abdul Gazir Syarifudin, Laila Maya Santi, Andi Rafiqa Faradiyah, Verrel Rievaldo Wijaya, Erma Suwastika   +4 more
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

Invariants of the dihedral group $D_{2p}$ in characteristic two [PDF]

, 2010
We consider finite dimensional representations of the dihedral group $D_{2p}$ over an algebraically closed field of characteristic two where $p$ is an odd integer and study the degrees of generating and separating polynomials in the corresponding ring of
MARTIN KOHLS, MÜFİT SEZER, Schmid
core   +2 more sources