4 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…
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 \( Î= (V,E) \) 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 Ï\in Irr(G), the codegree of Ïis defined by cod(Ï) = |G :\ker Ï|/Ï(1). The set of non-linear irreducible character codegre…
Some Properties of normal subgroups determined from character tables
Zeinab Akhlaghi, Maria Jose Felipe, Kelly Jean-Philippe
Gcharacter tables of a finite group G were defined before. These tables can be very useful to obtain certain structural information of a normal subgroup from the character table of…