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The Fundamental Group of the Double of the Figure‐Eight Knot Exterior is GFERF
Author(s) -
Long D. D.,
Reid A. W.
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1017/s0024609301008219
Subject(s) - mathematics , knot (papermaking) , separable space , pure mathematics , fundamental group , combinatorics , mathematical analysis , composite material , materials science
We prove that the fundamental group of the double of the figure‐eight knot exterior admits a faithful discrete representation into SO(4, 1; R ), for which the image group is separable on its geometrically finite subgroups.