# Nilpotent Singer groups

Gill, Nick (2006). Nilpotent Singer groups. Electronic Journal of Combinatorics, 13(1) R94.

## Abstract

Let be a nilpotent group normal in a group . Suppose that acts transitively upon the points of a finite non-Desarguesian projective plane . We prove that, if has square order, then must act semi-regularly on .
In addition we prove that if a finite non-Desarguesian projective plane admits more than one nilpotent group which is regular on the points of then has non-square order and the automorphism group of has odd order.