Equation 677 Database

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Magma 390e6c431321…

magma 390e6c431321
Size
49
Isomorphism class hash
390e6c431321564796ff2264907445439dc1a68da78d4e9b911647156f9137cc
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:44
Display reorder
48,0,3,2,5,1,4,6,24,30,18,44,36,12,8,46,26,38,32,14,20,7,31,45,13,25,19,37,10,34,42,16,28,22,40,11,43,29,41,35,17,23,9,27,33,21,47,39,15 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) 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, 1)) 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 15:53:18 · history