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Journal of the London Mathematical Society 1978 s2-18(1):166-172; doi:10.1112/jlms/s2-18.1.166
© 1978 by London Mathematical Society
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© Oxford University Press

The Transitive Action of Projective Transformations on the Extreme Points of a Three-Dimensional Convex Body

G. R. Burton

University College London

Received 3 October 1977.

A characterisation is given of the 3-dimensional convex bodies K for which the group of projective transformations that preserve K acts transitively on the extreme points of K.

Mathematics Department, Texas A & M University, College Station, Texas 77843, U.S.A.


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