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On the common nature of spreads and pencils in PG(d, q)

✍ Scribed by Jörg Eisfeld

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
708 KB
Volume
189
Category
Article
ISSN
0012-365X

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✦ Synopsis

Cameron and Liebler proposed the problem to determine the line sets of PG(d,q) having a fixed number of lines in common with each spread. In this paper we generalize this problem, characterizing the pairs (9, 3) of line sets such that 19 n gS?l = c for all g E PGL(d + 1, q). We shall do this more generally in the context of rank 3 permutation groups, strongy regular graphs and partial geometric designs.

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