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On the Theory of Projective Planes

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Selected Works of A.I. Shirshov

Part of the book series: Contemporary Mathematicians ((CM))

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Abstract

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.

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References

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

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Shirshov, A.I., Nikitin, A.A. (2009). On the Theory of Projective Planes. In: Bokut, L., Shestakov, I., Latyshev, V., Zelmanov, E. (eds) Selected Works of A.I. Shirshov. Contemporary Mathematicians. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8858-4_19

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