Transformations of Grassmannians and automorphisms of linear groups

2001/06/25 by Mark Pankov, Pankov, Mark
Mathematics · #14L35 #14M15 #20G15 #51N30 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:14L35 #msc:14M15 #msc:20G15 #msc:51N30

paper · pdf · doi:10.48550/arxiv.math/0106204

26 pages

arxiv created 2001/06/25 · arxiv updated 2009/11/30

Abstract

We consider transformations preserving certain linear structure in Grassmannians and give some generalization of the Fundamental Theorem of Projective Geometry and the Chow Theorem [Ch]. It will be exploited to study linear (k,n-k)-involutions, 1<k<n-1. The analogy of the well-known J. Dieudonné and C. E. Rickart result will be obtained.

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