Semidirect products of $I$-$E$ groups

Carter G. Lyons, Gary L. Peterson
1995 Proceedings of the American Mathematical Society  
An /-E group is a group G in which the endomorphism near-ring generated by the inner automorphisms of G equals the endomorphism nearring generated by the endomorphisms of G. In this paper we obtain a result characterizing when a semidirect product of /-E groups of relatively prime orders is an /-E group. We then use this result to show that a semidirect product of cyclic groups of relatively prime orders is an /-E group.
doi:10.1090/s0002-9939-1995-1249885-8 fatcat:23k6m5pqinhgpff6u7xpdklkua