English

Transformations of Grassmannians and automorphisms of linear groups

Rings and Algebras 2007-05-23 v1 Group Theory

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,nk)(k,n-k)-involutions, 1<k<n11<k<n-1. The analogy of the well-known J. Dieudonn\'{e} and C. E. Rickart result will be obtained.

Keywords

Cite

@article{arxiv.math/0106204,
  title  = {Transformations of Grassmannians and automorphisms of linear groups},
  author = {Mark Pankov},
  journal= {arXiv preprint arXiv:math/0106204},
  year   = {2007}
}

Comments

26 pages

R2 v1 2026-07-22T16:39:18.213Z