Collineation groups whose order is divisible by a p-primitive divisor
Copyright policy )Collineation groups whose order is divisible by a p-primitive divisor
This is a continuation of the author's earlier paper [Geom. Dedicata 9, 153-194 (1980; Zbl 0449.51003)]. Let \(\pi\) be a translation plane of order \(q^ 3\) with kernel GF(q). The main result of the paper under review is that the translation complement of \(\pi\) cannot contain a group such that \(G/Z(G)=A_ 7\). This removes a possible exception to the results of the earlier paper. It is also shown that the assumptions of the earlier paper can be slightly relaxed.
- Washington State University United States
kernel, Translation planes and spreads in linear incidence geometry, translation plane, Finite affine and projective planes (geometric aspects), translation complement
kernel, Translation planes and spreads in linear incidence geometry, translation plane, Finite affine and projective planes (geometric aspects), translation complement
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