It should be well known that a Kleinian group and all its normal (non-elementary) subgroups have the same limit set. Do you know any book/article where I could find the proof?
Thank you.
2026-03-28 19:37:51.1774726671
A Kleinian group has the same limit set as its normal subgroups'
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You should have a look at Thurston's notes:
http://library.msri.org/books/gt3m/PDF/
corollary 8.1.3 on page 172.