A Short Note on Numbers of the Form K + Fn, Where K ? {2, 4, 8} and Fn is a Fermat Number

On the Multiplicative Order of Fn+1/fn modulo Fm

Here, we show that if s �∈ {1, 2, 4} is a fixed positive integer and m and n are coprime positive integers such that the multiplicative order of Fn+1/Fn modulo Fm is s, where Fk is the kth Fibonacci number, then m < 500s2.

ON THE ZECKENDORF FORM OF F^ I Fn

omissible extensions of $sl_2(k)$ where $k$ is a field of positive characteristic

a normal subgroup $n$ of a group $g$ is said to be an‎ ‎$emph{omissible}$ subgroup of $g$ if it has the following property‎: ‎whenever $xleq g$ is such that $g=xn$‎, ‎then $g=x$‎. ‎in this note we construct various groups $g$‎, ‎each of which has an omissible subgroup $nneq 1$ such that $g/ncong sl_2(k)$ where $k$ is a field of positive characteristic‎.

Normal edge-transitive Cayley graphs on the non-abelian groups of order $4p^2$, where $p$ is a prime number

In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.

On Isomorphism Theorems of Fn -Polygroups

In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal  F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-polygroups by defining regular relations are studied. Finally, the classical isomorphism theorems of groups are generalized to Fn-polygroups p...