SOME RESULT OF NON-COPRIME GRAPH OF INTEGERS MODULO n GROUP FOR n A PRIME POWER
نویسندگان
چکیده
منابع مشابه
Characterizations of the simple group $D_{n}(3)$ by prime graph and spectrum
We prove that $D_n(3)$, where $ngeq6$ is even, is uniquely determined by its prime graph. Also, if $G$ is a finite group with the same prime graph as $D_4(3)$, then $Gcong D_4(3), B_3(3), C_3(3)$ or $G/O_2(G)cong {rm Aut}({}^2B_2(8))$.
متن کاملthe coprime graph of a group
the coprime graph $gg$ with a finite group $g$ as follows: take $g$ as the vertex set of $gg$ and join two distinct vertices $u$ and $v$ if $(|u|,|v|)=1$. in the paper, we explore how the graph theoretical properties of $gg$ can effect on the group theoretical properties of $g$.
متن کاملDirected prime graph of non-commutative ring
Prime graph of a ring R is a graph whose vertex set is the whole set R any any two elements $x$ and $y$ of $R$ are adjacent in the graph if and only if $xRy = 0$ or $yRx = 0$. Prime graph of a ring is denoted by $PG(R)$. Directed prime graphs for non-commutative rings and connectivity in the graph are studied in the present paper. The diameter and girth of this graph are also studied in the pa...
متن کاملOn the Value Set of n! Modulo a Prime
We show that for infinitely many prime numbers p there are at least log log p/ log log log p distinct residue classes modulo p that are not congruent to n! for any integer n.
متن کاملA Gcd-Sum Function Over Regular Integers Modulo n
We introduce a gcd-sum function involving regular integers (mod n) and prove results giving its minimal order, maximal order and average order.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fundamental Mathematics and Applications (JFMA)
سال: 2020
ISSN: 2621-6035,2621-6019
DOI: 10.14710/jfma.v3i2.8713