# The Ranks of the Groups of Links

The Ranks of the Groups of Links

The group of links in codimension greater than two is the group of isotopy classes of smooth embeddings ⊔…⊔→, where ,…,<m-2 are positive integers. A link is primary, if it becomes trivial after removing any of its components. This application computes the rank of the group of primary links of given dimensions ,…,<m-2.

p

1

S

p

r

S

m

S

p

1

p

r

p

1

p

r