Pankov M. Transformations of Grassmannians

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0509U000003

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія
  • 01.01.06 - Алгебра і теорія чисел

23-12-2008

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

The mappings of Grassmannians of buildings of classical types which send apartments to apartments are described; in particular, the bijective mappings satisfying this condition can be extended to isomorphism between the associated buildings. Transformations of Grassmannians non-related with buildings preserving the class of base subsets are investigated. Classical Dieudonne-Rickart's resuts are generalized.

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