The primitive p-Frobenius groups

Proc. Amer. Math. Soc. 126 (1998), 1337-1343. 

P. Fleischmann
Institute for Experimental Mathematics, University of Essen, 
Ellernstr. 29, 45326 Essen, Germany 

W. Lempken 
Institute for Experimental Mathematics, University of Essen, 
Ellernstr. 29, 45326 Essen, Germany 

and Pham Huu Tiep
Department of Mathematics, Ohio State University, Columbus, Ohio 43210 

Abstract. Let p be a fixed prime. A finite primitive permutation group 
G with every two-point stabilizer G_{\alpha,\beta} being a p-group is 
called a primitive p-Frobenius group. Using our earlier results on 
p-intersection subgroups, we give a complete classification of the 
primitive p-Frobenius groups.