Timeline for Is there a one-relator circle-packing theorem?
Current License: CC BY-SA 4.0
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S Dec 31, 2020 at 23:04 | history | bounty ended | CommunityBot | ||
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Dec 24, 2020 at 0:02 | history | edited | seldom seen | CC BY-SA 4.0 |
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S Dec 23, 2020 at 21:36 | history | notice added | seldom seen | Draw attention | |
Sep 2, 2019 at 18:14 | comment | added | user1729 | If you are willing to assume that the word $w$ is a proper power, so there exists some word $v$ and some integer $n>1$ s.t. $w\equiv v^n$, then there are some pretty strong restrictions on the shape of possible diagrams. The starting point is B.B.Newman's Spelling Theorem, which says (roughly) that any disc diagram must contain a cyclic shift of $W^{n-1}$ on the boundary (or its inverse). Hruska and Wise went much further in their paper "Towers, ladders and the B. B. Newman Spelling Theorem", J. Aust. Math. Soc. (2001). "Towers" is the method of proof, "ladder" is the shape of the diagrams. | |
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Aug 30, 2019 at 22:14 | history | edited | YCor |
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Aug 30, 2019 at 21:32 | history | asked | seldom seen | CC BY-SA 4.0 |