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Groups of rational functions

Published online by Cambridge University Press:  01 August 2016

K. Robin McLean
K. Robin McLean*
Affiliation:
Dept of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL
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In an article full of concrete examples, [1], Malcolm Perella asked what finite groups can be realised as groups of rational functions. When I first thought about this question, I imagined that most of the answers would be easy to locate in standard literature. Some of them are. But several have defied all my attempts to unearth them. I expect that they are hiding somewhere (as we said in our family when precious toys went astray), but they are certainly not in the books where I expected to find them! The present article attempts to answer Perella’s question by referring to appropriate sources where my search has succeeded, and supplying my own answers in other cases. Examples of the groups that arise are given in a series of exercises for readers.

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Articles
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The Mathematical Gazette , Volume 91 , Issue 521 , July 2007, pp. 208 - 215
Copyright
Copyright © The Mathematical Association 2007

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References

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