Motivated by Problem 164 proposed by Y. Berkovich and E. Zhmud' in their book "Characters of Finite Groups", we give a characterization of finite groups whose irreducible character codegrees are prime powers. This ...
Supported by the Foundation for University Key Teacher by the Ministry of Education(2000-2003);Supported by the National Natural Science Foundation of China(10061003)
We denote h(G,x) as the adjoint polynomial of graph G. In [5], Ma obtained the interpolation properties of the roots of adjoint polynomial of graphs containing triangles. By the properties, we prove the non-zero root ...