O'Farrell, Anthony G.
Compositions of Involutive Power Series, and Reversible
Computational Methods and Function Theory, 8.
For each natural number n, we characterise the invertible series
(under composition) that are the composition of n proper involutions. We
work with formal power series in one variable over a field of characteristic
zero. We also describe the reversible series (those conjugate to their own
inverses), and the series that are the composition of n reversible series.
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