The description of the Grigorcuk Group is given here https://en.wikipedia.org/wiki/Grigorchuk_group. Is this group Solvable?
Thanks for any help.
2026-03-25 02:58:47.1774407527
The Grigorcuk Group solvable?
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This is definitely not the most straightforward solution, but it makes use of the Grigorchuk group's most famous property: having intermediate growth.
In this paper Wolf (1968), building on a previous result by Milnor, proves that:
Therefore, if the Grigorchuk group were solvable, it could not have intermediate growth.