๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On transitive parallelisms of(PG(3,4))

โœ Scribed by Svetlana Topalova, Stela Zhelezova

Book ID
120746890
Publisher
Springer
Year
2013
Tongue
English
Weight
161 KB
Volume
24
Category
Article
ISSN
0938-1279

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On regular parallelisms in PG(3,q)
On regular parallelisms in PG(3,q)
โœ G. Lunardon ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 868 KB

Inaction A prrrallelism of S3 = PG(3., 4) is a set 9 of 4\*+ 4 + 1 spreads such that, if $I and sz are two distinct spreads of 9, then & and s2 do not have a common line. If all spreads of 9 are regular we say that g is a regular parallelism of SJ. In [3] Bruck studied a amstruction of a projective

Two-Transitive Parallelisms
Two-Transitive Parallelisms
โœ Norman L. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Springer ๐ŸŒ English โš– 69 KB
The Cyclic Parallelisms of PG(3,5)
The Cyclic Parallelisms of PG(3,5)
โœ A.R. Prince ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

We determine, by a computer search, all the cyclic parallelisms of PG(3, 5). There are 45 of them, up to projective equivalence. In particular, there are two cyclic regular parallelisms of PG(3, 5). Previously, no example was known of a regular parallelism in PG(3, q), for q odd.

Transitive Partial Parallelisms of Defic
Transitive Partial Parallelisms of Deficiency One
โœ Norman L. Johnson; Rolando Pomareda ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

A new construction of parallelisms, determined by Johnson, is valid for both the finite and infinite cases and gives a variety of partial parallelisms of deficiency one that admit a transitive group. Since there are extensions to parallelisms, one obtains parallelisms admitting a collineation group