Hilden, Hugh MichaelLozano Imízcoz, María TeresaMontesinos Amilibia, José María2023-06-192023-06-192013-010218-216510.1142/S0218216512501404https://hdl.handle.net/20.500.14352/33299The complete classification of representations of the Trefoil knot group G in S3 and SL(2, ℝ), their affine deformations, and some geometric interpretations of the results, are given. Among other results, we also obtain the classification up to conjugacy of the noncyclic groups of affine Euclidean isometries generated by two isometries μ and ν such that μ2 = ν3 = 1, in particular those which are crystallographic. We also prove that there are no affine crystallographic groups in the three-dimensional Minkowski space which are quotients of G.On representations of 2-bridge knot groups in quaternion algebras II: The case of the Trefoil knot groupjournal articlehttp://www.worldscientific.com/doi/abs/10.1142/S0218216512501404http://www.worldscientific.com/metadata only access515.162.8Quaternion algebrarepresentationknot groupcrystallographic groupGrupos (Matemáticas)Geometria algebraica1201.01 Geometría Algebraica