12 papers
Finite groups with quadratic splitting fields for all Cayley graphs
Majid Arezoomand, Alireza Abdollahi, Tao Feng +1
For a graph , the splitting field of is defined as the splitting field of the characteristic polynomial of over rationals. The algebraic degree of is defined by the…
Perfect codes and regular sets in vertex-transitive graphs
Alireza Abdollahi, Zeinab Akhlaghi, Majid Arezoomand
A subset \( C \) of the vertex set \( V \) of a graph \( Γ= (V,E) \) is termed an -regular set if each vertex in \( C \) is adjacent to exactly \( r \) other vertices in \(…
Finite groups with coprime non-linear codegrees
Ashkan Zarezadeh, Behrooz Khosravi, Zeinab Akhlaghi
Given a finite group G with an irreducible character χ\in Irr(G), the codegree of χis defined by cod(χ) = |G :\ker χ|/χ(1). The set of non-linear irreducible character codegrees of…
Element orders and codegrees of characters in non-solvable groups
Z. Akhlaghi, E. Pacifici, L. Sanus
Given a finite group and an irreducible complex character of , the codegree of is defined as the integer . It was conjectured by G. Qian…
On the average character degree of some irreducible characters of a finite group
Zeinab Akhlaghi
Let G be a finite group and N be a non-trivial normal subgroup of G, such that the average character degree of irreducible characters in Irr(G|N) is less than or equal to 16=5. The…
On the multiplicities of the character codegrees
Zeinab Akhlaghi, Mehdi Ebrahimi, Maryam Khatami
Let G be a finite group and ? be an irreducible character of G, the number cod(?) = jG : Let be a finite group and be an irreducible character of , the number $ \co…