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- W2904190634 abstract "In the picture-hanging puzzle we are to hang a picture so that the string loops around $n$ nails and the removal of any nail results in a fall of the picture. We show that the length of a sequence representing an element in the free group with $n$ generators that corresponds to a solution of the picture-hanging puzzle must be at least $n2^{sqrt{log_2 n}}$. In other words, this is a lower bound on the length of a sequence representing a non-trivial element in the free group with $n$ generators such that if we replace any of the generators by the identity the sequence becomes trivial." @default.
- W2904190634 created "2018-12-22" @default.
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- W2904190634 date "2018-12-15" @default.
- W2904190634 modified "2023-09-27" @default.
- W2904190634 title "A Note on a Picture-Hanging Puzzle" @default.
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- W2904190634 hasPublicationYear "2018" @default.
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