7 citations · 17 across the 8 of their papers we have counts for
9 papers
Common non-zero graphs of groups with few edges
Zeinab Akhlaghi, Sesuai Yash Madanha
Let \( G \) be a finite group, and consider its common non-zero graph, which we denote by \( Γ_{nv}(G) \). In this graph, the vertices represent the non-linear irreducible characte…
Finite groups with few character values that are not character degrees
Sesuai Y. Madanha, X. Mbaale, Tendai M. Mudziiri Shumba
Let be a finite group and . Define , and denote $…
On some products of finite groups
A. Ballester-Bolinches, S. Y. Madanha, M. C. Pedraza-Aguilera +1
A classical result of Baer states that a finite group which is the product of two normal supersoluble subgroups is supersoluble if and only if is nilpotent. In this ar…
Finite groups with few character values
Sesuai Y. Madanha
A classical theorem on character degrees states that if a finite group has fewer than four character degrees, then the group is solvable. We prove a corresponding result on charact…
On the orders of vanishing elements of finite groups
Sesuai Y. Madanha
Let be a finite group and be a prime. Let denote the set of the orders of vanishing elements, be the subset of …
Average number of zeros of characters of finite groups
Sesuai Y. Madanha
There has been some interest on how the average character degree affects the structure of a finite group. We define, and denote by , the average number of zeros…
Finite groups with some restriction on the vanishing set
Sesuai Y. Madanha, Bernardo G. Rodrigues
Let be an element of a finite group and denote the order of by . We consider a finite group such that $ \gcd(\mathrm{ord}(x),\mathrm{ord}…
Zeros of primitive characters of finite groups
Sesuai Y. Madanha
We classify finite non-solvable groups with a faithful primitive irreducible complex character that vanishes on a unique conjugacy class. Our results answer a question of Dixon and…
On a question of Dixon and Rahnamai Barghi
Sesuai Y. Madanha
Let be a finite non-solvable group with a primitive irreducible character that vanishes on one conjugacy class. We show that has a homomorphic image that is either…