Zobrazeno 1 - 10
of 2 072
pro vyhledávání: '"dihedral group"'
Autor:
Gholamreza Rafatneshan, Yousef Zamani
Publikováno v:
Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 209-223 (2024)
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambd
Externí odkaz:
https://doaj.org/article/72ea5145dc7048d49e8731b451f8f1ce
Autor:
Seyyed Sadegh Gholami, Yousef Zamani
Publikováno v:
International Journal of Group Theory, Vol 14, Iss 3, Pp 125-138 (2024)
In this paper, the problem existing $O$-basis for Cartesian symmetry classes is discussed. The dimensions of Cartesian symmetry classes associated with a cyclic subgroup of the symmetric group $S_m$ (generated by a product of disjoint cycles) and the
Externí odkaz:
https://doaj.org/article/edd879c37f6a4d5088bdce7dc745c665
Autor:
I. A. Timofeenko, A.A. Shlepkin
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 47, Iss 1, Pp 137-146 (2024)
When studying infinite groups, as a rule, some finiteness conditions are imposed. For example, they require that the group be periodic, a Shunkov group, a Frobenius group, or a locally finite group. The concept of saturation allows us to effectively
Externí odkaz:
https://doaj.org/article/4324b1501378444980b5337a58c3889d
Autor:
Ciuclea Ioana
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 60, Iss 1, Pp 56-72 (2024)
We identify pointed vortex loops in the plane with low dimensional nonlinear flags decorated with volume forms. We show how submanifolds of such decorated nonlinear flags can be identified with coadjoint orbits of the area pre- serving diffeomorphism
Externí odkaz:
https://doaj.org/article/696b196dbfe742ffbdb1a5aab84806fd
Publikováno v:
IEEE Access, Vol 12, Pp 73633-73641 (2024)
This study introduces a ground-breaking approach to analyzing dihedral groups through the lens of fuzzy graph theory, significantly enhancing computational efficiency in group theory. By extending the fuzzy topological indices to polynomial forms, th
Externí odkaz:
https://doaj.org/article/f0ce640258164ed39b7ef79c70f6d2ad
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3492 (2024)
The HX-groups represent a generalization of the group notion. The Chinese mathematicians Mi Honghai and Li Honxing analyzed this theory. Starting with a group (G,·), they constructed another group (G,∗)⊂P∗(G), where P∗(G) is the set of non-e
Externí odkaz:
https://doaj.org/article/48e2564742ad4006b4f66a1e6946c7ca
Autor:
Sita Armi Aulia, I Gede Adhitya Wisnu Wardhana, Irwansyah Irwansyah, Salwa Salwa, Wahyu Ulyafandhie Misuki, Nguyen Dang Hoa Nghiem
Publikováno v:
InPrime, Vol 5, Iss 2, Pp 115-122 (2023)
Abstract 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 co
Externí odkaz:
https://doaj.org/article/8f0760ee1af74181bbc1ce63f498256b
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2711 (2024)
In this paper we introduce Cayley digraphs associated to finitely generated polygroups, where the vertices correspond to finite products of the generators of polygroups and the edges to multiplication by vertices and generators. We investigate some p
Externí odkaz:
https://doaj.org/article/45999381647948bc9e85f3717b13f830
Autor:
Abdul Gazir Syarifudin, Laila Maya Santi, Andi Rafiqa Faradiyah, Verrel Rievaldo Wijaya, Erma Suwastika
Publikováno v:
JTAM (Jurnal Teori dan Aplikasi Matematika), Vol 7, Iss 3, Pp 698-711 (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. Two distinct vertices x and y are adjacent by an edge
Externí odkaz:
https://doaj.org/article/dcb1d01caa424ce7a7bb4eae75f9258c