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Re: Formal composition of formal power series
Posted:
Apr 14, 2003 6:07 PM
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Thanks to Arnold Neumaier, Bruce Reznik, Pedro Fortunay, and Axel Vogt.
Arnold Neumaier mentioned Hazewinkel on formal groups. Google immediately shows his list of publications, a number of which say "... formal groups ..." in the title. (I haven't looked at those papers yet.)
Bruce Reznik wrote on iterates of formal power series:
> I gave some talks on a special case under the > title "What you have to do twice in order to Sin".
(The Catholic Church also addresses that topic when it says being baptized twice is a sin.) That there are square roots of the identity in the group I asked about is something that I realized, but I wasn't sure about more general nth roots.
Pedro Fortunay mentioned germs of diffeomorphisms. He also mentioned Isao Nakai and Yoccoz. I find some mentions of those authors on the web, but I haven't yet figured out which of their writings are relevant.
Axel Vogt's comments may take some time to digest. Mike Hardy
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