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This article is cited in 2 scientific papers (total in 3 papers)
Slender partial quadrangles and their automorphisms
A. A. Makhnev, M. S. Nirova Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
The partial quadrangle $PQ(s,t,\mu)$ is an incidence system consisting of points and lines in which every line contains $s+1$ points, every point sits on $t+1$ lines (two lines meet in at most one point), and the meet of the neighborhoods of any two non-adjacent points in the collinearity graph is a $\mu$-coclique. We provide a classification for partial quadrangles $PQ(s,t,\mu)$ with $t\leqslant 6$, and study into their automorphisms.
Keywords:
partial quadrangle, incidence system, automorphism.
Received: 28.11.2005
Citation:
A. A. Makhnev, M. S. Nirova, “Slender partial quadrangles and their automorphisms”, Algebra Logika, 45:5 (2006), 603–619; Algebra and Logic, 45:5 (2006), 344–352
Linking options:
https://www.mathnet.ru/eng/al161 https://www.mathnet.ru/eng/al/v45/i5/p603
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Abstract page: | 473 | Full-text PDF : | 93 | References: | 63 | First page: | 4 |
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