Equation 677 Database

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Magma fa885ee6c3df…

magma fa885ee6c3df
Size
49
Isomorphism class hash
fa885ee6c3df774cdb6f92bab42105d2b77f2283399d1303376327ddba8c4e2f
Satisfies Equation 255
yes
Right-cancellative
no
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:48
Display reorder
48,42,45,44,47,43,46,0,1,2,3,4,5,41,24,25,26,27,28,29,40,30,31,32,33,34,35,36,12,13,14,15,16,17,38,6,7,8,9,10,11,37,18,19,20,21,22,23,39 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) non-right-cancellative magma. Has 8 distinct 7-element sub-magmas, all passing through the unique idempotent — an AG(2,7)-pencil-like configuration. The 49 elements admit a 7-class congruence (F_7 quotient with base ≅ F_7(4, 3)) where exactly ONE fiber is itself a sub-magma (the fiber containing the idempotent, ≅ F_7(4, 1)); the other 7 sub-magmas through the idempotent are transversals, each hitting all 7 fibers in exactly one element. The 8 sub-magmas correspond to the 8 lines through the origin in AG(2,7).

last edited by dwrensha at 2026-04-29 15:53:20 · history