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Partial parallelisms in finite projective spaces

✍ Scribed by Albrecht Beutelspacher


Publisher
Springer
Year
1990
Tongue
English
Weight
262 KB
Volume
36
Category
Article
ISSN
0046-5755

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✦ Synopsis


We show the existence of a parallelism of ~ -U, where ~ is a finite projective space and U is a subspace of~' with dim.~ -dim U = 2 ~. As a consequence we prove a lower bound for the maximum number of disjoint spreads of ~'.


πŸ“œ SIMILAR VOLUMES


On the type of partial t-spreads in fini
✍ Albrecht Beutelspacher; Franco Eugeni πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 967 KB

A partial t-spread in a projective space P is a set of mutually skew t-dimensional subspaces of P. In this paper, we deal with the question, how many elements of a partial spread Sf can be contained in a given d-dimensional subspace of P. Our main results run as follows. If any d-dimensional subspac