Hello! I've written some quick code to compute the multiplicative inverses of cycle index series when that is possible and added a _div_ method to CycleIndexSeries. This code is available as a patch on Trac ticket #14350 [1]. I'd very much appreciate any feedback on this code and/or your support to bring it into Sage!
--Andrew [1] http://trac.sagemath.org/sage_trac/ticket/14350
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