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On Subplanes of Free Planes

Published online by Cambridge University Press:  20 November 2018

Reuben Sandler
Reuben Sandler*
Affiliation:
Institute for Defense Analyses Princeton, New Jersey
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In 1945, L. I. Kopejkina (4), at the suggestion of A. G. Kurosh, began a programme of studying the properties of free projective planes and the analogies between free planes and free groups. In this paper, this study will be extended by proving a tool theorem and several of its consequences. The theorem deals with the existence of "minimal free generators" for subplanes of free planes.

A set of points and lines and an incidence relation are said to form a projective plane if the following three axioms are satisfied.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 379 - 385
Copyright
Copyright © Canadian Mathematical Society 1964

References

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