10 citations · 11 across the 9 of their papers we have counts for
11 papers
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…
On the subgroup regular set in Cayley graphs
Asamin Khaefi, Zeinab Akhlaghi, Behrooz Khosravi
A subset of the vertex set of a graph is said to be -regular if induces an -regular subgraph and every vertex outside is adjacent to exactly vertices…
Characterizing some finite groups by the average order
Ashkan Zarezadeh, Behrooz Khosravi, Zeinab Akhlaghi
The average order of a finite group G is denoted by o(G). In this note, we classify groups whose average orders are less than o(S4), where S4 is the symmetric group on four element…
Minimal partition-free groups
Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi
Let G be a finite group. A collection P={H1, ..., Hr} of subgroups of G, where r > 1, is said a non-trivial partition of G if every non-identity element of G belongs to one and onl…
Equivalent version of Huppert's conjecture on the codegrees
Afsane Bahri, Zeinab Akhlaghi, Behrooz Khosravi
Let G be a finite group, Irr(G) the set of all irreducible complex characters of G and X \in Irr(G). Let also cod(X) = |G : kerX|/X(1) and cod(G) = {cod(X) | X \in Irr(G)}. In this…
On Two Conjectures about the Sum of Element Orders
Morteza Baniasad Azad, Behrooz Khosravi
Let be a finite group and , where denotes the order of . First, we prove that if is a group of order and …