Slender partial quadrangles and their automorphisms
โ Scribed by A. A. Makhnev; M. S. Nirova
- Book ID
- 106341969
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 201 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The point-line geometry known as a partial quadrangle (introduced by Cameron in 1975) has the property that for every point/line non-incident pair (P, ), there is at most one line through P concurrent with . So in particular, the well-studied objects known as generalized quadrangles are each partial
Hy finding invariant embeddings of a partially ordered set X into the semigroups it is shown that the semigroup of order ideals of X. where the semigroup operation is set union, and the semigroup and semiring of order preserving maps from X into the positive cone D' of a partially tirdered integral
It is shown that there is a function g on the natural numbers such that a partial Steiner triple system U on u points can be embedded in a Steiner triple system V on v v v points, in such a way that all automorphisms of U can be extended to V, for every admissible v v v satisfying v v v > gรฐuร. We f