Advances and Applications in Discrete Mathematics
Volume 1, Issue 1, Pages 1 - 34
(January 2008)
|
|
TRANSITIVE DEFICIENCY ONE PARTIAL PARALLELISMS
Esteban Diaz (USA), Norman L. Johnson (USA) and Alessandro Montinaro (Italy)
|
Abstract: Previously, Biliotti, Jha and Johnson classified all
transitive deficiency one partial parallelisms in
with the assumption that the
Sylow p-subgroups, for p a
prime, are ‘linear’. In this article, new arguments on elation and Baer p-groups
show that the same
results may be obtained without any assumptions on the transitive group. A
corollary to this result shows that the classification theorem of Johnson on
doubly transitive parallelisms in may be
obtained without appealing to the classification theorem of finite simple
groups. |
Keywords and phrases: partial parallelisms, deficiency one, transitive groups. |
|
Number of Downloads: 274 | Number of Views: 868 |
|