On the Theory of Projective Planes

  • A. I. Shirshov
  • A. A. Nikitin
Part of the Contemporary Mathematicians book series (CM)


In 1976, in the special course on Projective Planes given at Novosibirsk State University, and later in 1977, in the report on Projective Planes given at the Fourteenth All-Union Algebra Conference, A.I. Shirshov presented the concept of a projective plane as a partial algebraic system. This approach allowed the formulation of a number of new problems, together with a new viewpoint on known results and problems in the theory of projective planes. In the present work, we discuss part of the results contained in the special course and in the report, and also some further developments.


Natural Number Projective Plane Satisfying Condition Inductive Step Regular Word 
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Copyright information

© Birkhäuser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland 2009

Authors and Affiliations

  • A. I. Shirshov
  • A. A. Nikitin

There are no affiliations available

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