On the Theory of Projective Planes
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.
KeywordsNatural Number Projective Plane Satisfying Condition Inductive Step Regular Word
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- G. Pickert, Projektive Ebenen, Zweite Auflage, Die Grundlehren der Mathematischen Wissenschaften 80, Springer-Verlag, Berlin-New York, 1975.Google Scholar