Prime knots and tangles

W. B. Raymond Lickorish
1981 Transactions of the American Mathematical Society  
A study is made of a method of proving that a classical knot or link is prime. The method consists of identifying together the boundaries of two prime tangles. Examples and ways of constructing prime tangles are explored.
doi:10.1090/s0002-9947-1981-0621991-2 fatcat:5cu7f2sqnjef5etvc6knyrzoxm