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- W2949122010 abstract "Let K be a knot of genus g. If K is fibered, then it is well known that the knot group pi(K) splits only over a free group of rank 2g. We show that if K is not fibered, then pi(K) splits over non-free groups of arbitrarily large rank. Furthermore, if K is not fibered, then pi(K) splits over every free group of rank at least 2g. However, pi(K) cannot split over a group of rank less than 2g. The last statement is proved using the recent results of Agol, Przytycki-Wise and Wise." @default.
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- W2949122010 date "2013-08-29" @default.
- W2949122010 modified "2023-09-27" @default.
- W2949122010 title "Splittings of knot groups" @default.
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