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4
votes
Length of a product of conjugates of an element in a free group
I'm sorry, I was completely wrong, please ignore this answer.
(I do find it reasonable that this post and this paper may be relevant, though).
The correct formulation is with **cyclically reduced** …
1
vote
Must nonunit in group algebra of free group generate proper two-sided ideal?
For one-sided ideals it's true (see for example Lemma 5.9 in this paper). The following is an unsuccessful attempt to handle two-sided ideals in the same method:
A free group is bi-orderable, so let $ …