RT Journal Article
T1 On representations of 2-bridge knot groups in quaternion algebras II: The case of the Trefoil knot group
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB The 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.
PB World Scientific PublCo
SN 0218-2165
YR 2013
FD 2013-01
LK https://hdl.handle.net/20.500.14352/33299
UL https://hdl.handle.net/20.500.14352/33299
DS Docta Complutense
RD 16 jul 2025