Finite groups with at most six vanishing conjugacy classes Page 1 Journal of Algebra and Its
Applications Vol. 21, No. 4 (2022) 2250076 (12 pages) c© World Scientific Publishing Company …

Let $ G $ be a finite group‎.‎ We say that an element $ g $ in $ G $ is a vanishing element if
there exists some irreducible character $\chi $ of $ G $ such that $\chi (g)= 0$‎. Moreover, the …

GROUPS WHOSE SET OF VANISHING ELEMENTS IS EXACTLY A CONJUGACY CLASS 1.
Introduction Let G be a finite group and Irr(G) be the se Page 1 Algebraic Structures and Their …

Let x be an element of a finite group G and denote the order of x by ord (x). We consider a
finite group G such that gcd (ord (x), ord (y))⩽ 2 for any two vanishing elements x and y …

Character theory of finite groups have an important role in understanding the structure of
finite groups. A number of previously unresolved problems related to the structure of finite …

Let G be a finite group. An element x in G is termed as a vanishing element if there exists at
least one irreducible character χ of G such that χ (x)= 0. In this paper, we prove that if the set …