As part of my enumeration of the Bol loops of order 16
with nontrivial centre, here I list just the 19 loops which are non-associative with centrum of size 8.
Please see the parent page for notation, including
my conventions for naming of loops and table entries.
I would appreciate an email
message () from you if you have any comments regarding this list.
Three loops in this category have |Z(L)|=1, namely
Also ten loops were found in this category with |Z(L)|=4, namely
The remaining six loops found in this category all have |Z(L)|=2 and so the graph Comm(L) is defined. This graph is displayed as black-on-white (since it has at most 10 edges), and isolated vertices are not displayed.
No. | Comm(L) | |I(L)|=5 | |I(L)|=9 | |I(L)|=13 |
---|---|---|---|---|
2 | ![]() | 1 | 1, 2 | 0 |
83 | ![]() | 0 | 0 |