Parallelisms of PG ( 3 , 4 ) with automorphisms of order 7

Abstract

A spread is a set of lines of PG(d, q), which partition the point set. A parallelism is a partition of the set of lines by spreads. There is a one-to-one correspondence between the parallelisms of PG(3, 4) and the resolutions of the 2(85,5,1) design of its points and lines. We construct 482 non isomorphic parallelisms with automorphisms of order 7.

Cite this paper

@inproceedings{Topalova2009ParallelismsOP, title={Parallelisms of PG ( 3 , 4 ) with automorphisms of order 7}, author={Svetlana Topalova and Stela Zhelezova}, year={2009} }