Abstract.
A classification is given of all spreads in PG(3, q), q = pr, p odd, whose associated translation planes admit linear collineation groups of order q(q +1) such that a Sylow p-subgroup fixes a line and acts non-trivially on it.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
The authors are indebted to T. Penttila for pointing out the special examples of conical flock translation planes of order q2 that admit groups of order q(q+1), when q = 23 or 47.
Rights and permissions
About this article
Cite this article
Jha, V., Johnson, N.L. The classification of spreads in PG(3, q) admitting linear groups of order q(q+1), I. odd order. J. geom. 81, 46–80 (2004). https://doi.org/10.1007/s00022-004-1759-0
Received:
Issue Date:
DOI: https://doi.org/10.1007/s00022-004-1759-0