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Band-generator presentation for the 4-braid group. (English) Zbl 0879.57005

Summary: A new presentation for the 4-braid group (called the band-generator presentation) is introduced. The word problem, the conjugacy problem and the shortest word problem for this presentation are solved.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M05 Fundamental group, presentations, free differential calculus

Citations:

Zbl 0879.57006
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References:

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