Výsledky vyhledávání - "Cyclic group"

Akademický článek

Novel substitution-box generation using group theory for secure medical image encryption in E-healthcare

Autor: Abdul Razaq, Louai A. Maghrabi, Musheer Ahmad, Qamar H. Naith

Publikováno v: AIMS Mathematics, Vol 9, Iss 3, Pp 6027-6237 (2024)

With the increasing need for secure transmission and storage of medical images, the development of robust encryption algorithms is of paramount importance. Securing sensitive digital medical imagery information during transmission has emerged as a cr

Externí odkaz: https://doaj.org/article/f9cc77b4c4cc47f587583d51ce505611

Zobrazit plný text záznamu

Akademický článek

The clique number of the intersection graph of a cyclic group of order with at most three prime factors

Autor: Seyyed Majid Jafarian Amiri, Arezoo Beheshtipour

Publikováno v: ریاضی و جامعه, Vol 8, Iss 4, Pp 71-79 (2023)

Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$. In this

Externí odkaz: https://doaj.org/article/2ac91738e5bd4b9bb035e5df14d5746c

Zobrazit plný text záznamu

Akademický článek

On infinite anticommutative groups

Autor: Costantino Delizia, Chiara Nicotera

Publikováno v: International Journal of Group Theory, Vol 12, Iss 1, Pp 21-26 (2023)

We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic‎. ‎Moreover‎, ‎we prove that Engel groups with the above property are locally nilpotent‎.

Externí odkaz: https://doaj.org/article/5092643960854c6eac1932a1ec96fe7a

Zobrazit plný text záznamu

Akademický článek

Number of terms in the group determinant

Autor: Naoya Yamaguchi, Yuka Yamaguchi

Publikováno v: Examples and Counterexamples, Vol 3, Iss , Pp 100112- (2023)

In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth power of the group determinant of the cyclic group of

Externí odkaz: https://doaj.org/article/a8a51ce21b4745eebbf03d6a1e407c42

Zobrazit plný text záznamu

Akademický článek

A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION

Autor: SISWANDI SISWANDI, SUGI GURITMAN, NUR ALIATININGTYAS, TEDUH WULANDARI

Publikováno v: Jurnal Matematika UNAND, Vol 12, Iss 1, Pp 65-77 (2023)

In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determi

Externí odkaz: https://doaj.org/article/e2dc321f62604fd1a3b2fccf82822965

Zobrazit plný text záznamu

Akademický článek

On (m, k) -type elements in the ring of integers modulo n

Autor: Phoschanun Ratanaburee, Montakarn Petapirak, Sompong Chuysurichay

Publikováno v: Songklanakarin Journal of Science and Technology (SJST), Vol 44, Iss 5, Pp 1179-1184 (2022)

An element a in a ring R is said to be of (m, k)-type if a m = a k where m and k are positive integers with m > k ≥ 1. Let Xn(m, k) be the set of all (m, k)-type elements, X * n(m, k) be the set of all nonzero (m, k)-type elements, and Sn(m, k

Externí odkaz: https://doaj.org/article/9c15297f72384706ae760db01c0eea9d

Zobrazit plný text záznamu