Solubility of finite groups admitting a fixed-point-free operator group
Yanming Wang, Suling Pang · Publicationes Mathematicae Debrecen · 2002
The main purpose of this paper is to prove the following result: Let G be an S 3 -free finite group.Let A be an operator group of G.With the help of CFSG we also prove a result enabling us to drop the S 3 -free assumption and to replace A ∈ E n π by A ∈ E c π .This result may be viewed as a unified generalization of two well-known theorems on fixed-point-free automorphism groups which are consequences of the classification theorem of finite simple groups.