MURAL - Maynooth University Research Archive Library



    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

    [img] Download (242kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    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
    URI:

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year