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Compositions of Involutive Power Series, and Reversible Series

O'Farrell, Anthony G. (2008) Compositions of Involutive Power Series, and Reversible Series. Computational Methods and Function Theory, 8. pp. 173-193. ISSN 1617-9447

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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.

Item Type: Article
Keywords: Formal Power Series; Involution; Reversible; Composition; Group;
Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
Item ID: 3546
Depositing User: Prof. Anthony O'Farrell
Date Deposited: 21 Mar 2012 18:05
Journal or Publication Title: Computational Methods and Function Theory
Publisher: Heldermann Verlag
Refereed: Yes

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