The Character Correspondences on pi-Separable Groups
- 数学科学－已发表论文 
In this paper, we mainly consider the relationship between the complex irreducible characters of a pi-separable group and the complex irreducible characters of its Hall pi-subgroup. If a pi-group S acts on a pi-separable group G, let H be an S-invariant Hall pi-subgroup of G and C-NG(H)/H(S) = 1. Then we construct a natural bijection from the set Lin(S)(H) on to theset Irr(pi',S)(G). Furthermore, we get a bijection from the linear characters of H on to Irr(pi')(G).