Opposite relation on dual polar spaces and half-spin Grassmann spaces

2008/03/07 by Mariusz Kwiatkowski, Kwiatkowski, Mariusz, Mark Pankov +1
Mathematics · #14M15 #51M35 #Advanced Topics in Algebra #Category Theory (math.CT) #FOS: Mathematics #Finite Group Theory Research #Fixed Point Theorems Analysis #Group Theory (math.GR) #math.CT #math.GR #msc:14M15 #msc:51M35

paper · pdf · doi:10.48550/arxiv.0803.1133

openalex publication_date 2008/03/07 · arxiv created 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the collinearity (adjacency) relation of half-spin Grassmann spaces in terms of the relation to be opposite in the corresponding collinearity graphs. Also we show that this characterization does not hold for dual polar spaces.

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