Equation 677 Database

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Magma fec06f1f4e8f…

magma fec06f1f4e8f
Size
45
Isomorphism class hash
fec06f1f4e8fb8a75710f5bc1d50e294877f11815b0f1ef2fd4a7890098a78e1
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:26
Display reorder
44,0,32,33,1,31,2,3,4,40,5,9,10,6,35,7,8,34,43,11,36,16,12,17,13,14,15,42,25,29,30,26,39,27,28,38,41,18,21,23,19,24,37,20,22 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-45 (= 5 × 9) right-cancellative magma decomposing as a TWISTED fiber bundle: F_5(2,4) base × F_9(3,7) fiber. The 45 elements partition into 5 fibers of 9 elements (an F_5-quotient congruence), and each fiber is itself a sub-magma isomorphic to the F_9 linear magma F_9(3,7). However, unlike the direct product F_5 × F_9, the cross-fiber multiplication is twisted by a non-trivial cocycle — so the magma is NOT isomorphic to the direct product. The database contains 5 iso classes of size 45 sharing this F_5(2,4) base × F_9(3,7) fiber structure: one direct product (57ccc920) and 4 inequivalent non-trivial twists; this magma is one of the 4 twists.

last edited by dwrensha at 2026-04-29 15:35:16 · history