Orbits on points and lines in finite linear and quasilinear spaces

A. Blokhuis; A.E. Brouwer; A. Delandtsheer; J. Doyen

doi:10.1016/0097-3165(87)90069-0

Orbits on points and lines in finite linear and quasilinear spaces

A. Blokhuis, A.E. Brouwer, A. Delandtsheer, J. Doyen

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorphism group has exactly p orbits on points and ¿ orbits on lines if and only if p ¿.

Original language	English
Pages (from-to)	159-163
Number of pages	5
Journal	Journal of Combinatorial Theory, Series A
Volume	44
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(87)90069-0
Publication status	Published - 1987

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title = "Orbits on points and lines in finite linear and quasilinear spaces",

abstract = "Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorphism group has exactly p orbits on points and ¿ orbits on lines if and only if p ¿.",

author = "A. Blokhuis and A.E. Brouwer and A. Delandtsheer and J. Doyen",

year = "1987",

doi = "10.1016/0097-3165(87)90069-0",

language = "English",

volume = "44",

pages = "159--163",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

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T1 - Orbits on points and lines in finite linear and quasilinear spaces

AU - Blokhuis, A.

AU - Brouwer, A.E.

AU - Delandtsheer, A.

AU - Doyen, J.

PY - 1987

Y1 - 1987

N2 - Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorphism group has exactly p orbits on points and ¿ orbits on lines if and only if p ¿.

AB - Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorphism group has exactly p orbits on points and ¿ orbits on lines if and only if p ¿.

U2 - 10.1016/0097-3165(87)90069-0

DO - 10.1016/0097-3165(87)90069-0

M3 - Article

VL - 44

SP - 159

EP - 163

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

SN - 0097-3165

IS - 1

ER -