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On Functions Which form a Group

Published online by Cambridge University Press:  03 November 2016

E. J. F. Primrose
E. J. F. Primrose*
Affiliation:
Dept. of Mathematics, University of Leicester
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Extract

In The Gazette for February 1962 (Vol. XLVI, pp. 1–5), Mr. Roger North gave a very interesting method for constructing a group of any even order whose elements are functions of x, the rule of combination being substitution of one function in another. He also showed that the group of order 8 so formed is isomorphic to the octic group, the group of rotations of a square. (See also the article by Miss Joan Holland in The Gazette for February 1964, pp. 47-57.)

Type
Research Article
Information
The Mathematical Gazette , Volume 50 , Issue 371 , February 1966 , pp. 21 - 23
Copyright
Copyright © Mathematical Association 1966

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References

page 22 note * Since I wrote this article, a proof of this result by Dr. A. Brown appeared in The Gazette, February 1965, pp. 77–8.