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On a group of 1440 birational transformations of four variables that arises in considering the projective equivalence of double sixes

Published online by Cambridge University Press:  24 October 2008

W. Burnside
W. Burnside
Affiliation:
Honorary Fellow of Pembroke College
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Extract

The lines of a double-six will here be represented by the usual notation

where two lines whose symbols are in the same line or same column of this scheme are non-intersectors and all other pairs of lines intersect. Any six of the lines, no two of whose symbols are in the same column, and just three are in the same row, are generators of a quadric, and the actual position in space of each of the other six is determined by the two points in which it intersects this quadric.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 2 , April 1926 , pp. 103 - 108
Copyright
Copyright © Cambridge Philosophical Society 1926

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