Talk:Knot group

From Wikipedia, the free encyclopedia

This article seems to be self-contradictory. There's the paragraph

Two equivalent knots have isomorphic knot groups, so the knot group is a knot invariant and can be used to distinguish between inequivalent knots.

Then in the examples:

The square knot and the granny knot have isomorphic knot groups, yet these two knots are inequivalent.

Perhaps someone familiar with knot theory can clear this up. Ubermichael 00:23, 15 January 2007 (UTC)

a pretty late reply but the point is that while it's an invariant, it's not a complete invariant. two equivalent knots have the same knot group but the converse is not true in general. Mct mht 23:34, 17 October 2007 (UTC)