Recent activity
-
n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
-
n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
-
n=4
size 4 · Commentary: No magma of size 4 satisfies Equation 677. Proof. Equation 677 forces every row of the Cayley table to be a permutation…
-
n=3
size 3 · Commentary: No magma of size 3 satisfies Equation 677. Proof. Equation 677 forces every row of the Cayley table to be a permutation…
-
n=2
size 2 · Commentary: No magma of size 2 satisfies Equation 677. Proof. Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each fixe…
-
n=5
size 5 · Commentary: Size 5 is the smallest size > 1 that admits an Equation 677 magma (sizes 2, 3, 4 admit none — see their respective size…
-
n=5
size 5 · Commentary: Size 5 is the smallest size that admits an Equation 677 magma, and there is exactly one such magma up to isomorphism. *…
-
n=4
size 4 · Commentary: No magma of size 4 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
-
n=3
size 3 · Commentary: No magma of size 3 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
-
n=2
size 2 · Commentary: No magma of size 2 satisfies Equation 677. **Proof.** Equation 677, x = y ◇ (x ◇ ((y ◇ x) ◇ y)), implies that for each…
-
5ebfbb80…· Reorder set to0,2,34,19,102,75,111,110,106,49,94,1,32,56,61,29,54,65,98,21,66,83,16,108,46,14,99,107,91,31,87,118,12,79,85,42,82,120,36,88,39,33,30,76,41,77,15,74,23,50,10,60,92,48,70,97,22,113,3,90,109,5,78,52,37,114,73,62,63,44,26,95,80,53,51,18,13,71,7,45,89,20,72,67,27,47,104,38,86,64,101,4,17,24,35,57,69,59,68,117,6,81,100,93,55,25,112,40,116,8,11,103,115,105,96,43,9,58,119,84,28 -
5ebfbb80…· Comment: Constructed using the exceptional near-field II (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In… -
5ebfbb80…· Comment: Constructed using an exceptional near-field (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In par… -
5ebfbb80…· Comment: Constructed using an exceptional near-field (https://en.wikipedia.org/wiki/Near-field_(mathematics)) of size 121. In par… -
5ebfbb80…· New magma of size 121 -
79749a32…· New magma of size 625 -
ff552011…· New magma of size 343 -
fc322ba7…· New magma of size 961 -
5f44e78d…· New magma of size 961 -
3c1d2230…· New magma of size 961