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On Functions which form a Group

Published online by Cambridge University Press:  03 November 2016

Roger North
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Extract

It is well known that the functions x, 1 — x, 1/(1 — )x, x/(x — 1), 1 — 1/x, and 1/x form a Group, the rule of combination being substitution of one function in another. The question arises what other sets of functions there may be with a similar property. This note gives one answer to this question.

Type
Research Article
Information
The Mathematical Gazette , Volume 46 , Issue 355 , February 1962 , pp. 1 - 5
Copyright
Copyright © Mathematical Association 1962

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