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On a group of order 25920 and the projective transformations of a cubic surface

Published online by Cambridge University Press:  24 October 2008

W. Burnside
Affiliation:
Pembroke College
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The figure in three dimensions consisting of two sets of three non-intersecting lines, such that each line of one set intersects each line of the other set, will here be called a “net.” All nets are projectively equivalent to each other: and there are just 72 projective transformations that change one net into another.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1927