On the noncommuting graph associated with a finite group.
On the number of representations of an element in a polygonal Cayley graph
We compute explicitly the number of paths of given length joining two vertices of the Cayley graph of the free product of cyclic groups of order k.
On the prime graphs of the automorphism groups of sporadic simple groups
In this paper as the main result, we determine finite groups with the same prime graph as the automorphism group of a sporadic simple group, except .
On the proof of a theorem of Pálfy.
On the spectrum of the derangement graph.
On the unitary Cayley graph of a finite ring.
On Tits' conjecture and other questions concerning Artin and generalized Artin groups.
On wsq-primary ideals
We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative rings. Let be a commutative ring with a nonzero identity and a proper ideal of . The proper ideal is said to be a weakly strongly quasi-primary ideal if whenever for some , then or Many examples and properties of wsq-primary ideals are given. Also, we characterize nonlocal Noetherian von Neumann regular rings, fields, nonlocal rings over which every proper ideal is wsq-primary, and zero dimensional...