Numbers of SOMA(k,7)s

We have classified (up to isomorphism) SOMA(k,7)s, with k ≥ 3, invariant under a non-trivial group. Also, we have classified (up to isomorphism) all SOMA(k,7)s with k ≥ 4. Note here these classifications give all the possible ud-types of an arbitrary SOMA(k,7).

The following table contains the number of isomorphism representatives of SOMA(k,7)s (with the given ud-type) from our classifications above. In this table, we link the numbers in representatives column with a GAP list of GRAPE graphs of SOMAs of the correpsonding ud-type.

k
ud-type
number of representatives
3
(1,1,1)
3
(1,2)
17
(3)
223
4
(1,1,1,1)
3
(4)
1
5
(1,1,1,1,1)
1
6
(1,1,1,1,1,1)
1

This page is maintained by John Arhin.

Last updated: September 5th 2007.

Comments