Collineation groups preserving an oval and containing no Baer involutions (Q1337799)

In a forthcoming paper of \textit{M. Biliotti} and \textit{G. Korchmaros} [`The structure of a collineation group preserving an oval in a projective plane of order' (to appear)] the authors make a detailed analysis of the structure of a 2-subgroup of \(G\), where \(G\) is a collineation group of a projective plane \(\pi\) of odd order, which preserves an oval \(\Omega\). The achieved results allow the authors to outline the structure of \(F^* (G/O(G))\). In this paper it is completely determined the structure of a 2-subgroup of \(G\) under the assumption that \(G\) does not contain Baer involutions. The results of M. Biliotti and G. Korchmaros are then revisited, obtaining more strengthened results.