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Functional equations and groups

Published online by Cambridge University Press:  01 August 2016

Malcolm A. Perella
Malcolm A. Perella*
Affiliation:
28 Graham Park Road, Gosforth, Newcastle upon Tyne NE3 4BH, e-mail: map24@tutor,open.ac.uk
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Extract

Consider the functional equation

Now let and These are elements of a group, G1 say, which is isomorphic to C2, the cyclic group of order 2, as can be seen from the group table:

Type
Articles
Information
The Mathematical Gazette , Volume 89 , Issue 515 , July 2005 , pp. 202 - 211
Copyright
Copyright © The Mathematical Association 2005

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References

1. Aczél, J. Lectures on functional equations and their applications, Academic Press, 1966.Google Scholar
2. Kuczma, M. Functional equations in a single variable, Polish Scientific Publishers, 1968.Google Scholar
3. Budden, F. J. The fascination of groups, Cambridge University Press, 1978.Google Scholar
4. Ledermann, W. and Weir, A. J. Introduction to the theory of finite groups, Longmans, 1996.Google Scholar