Equation 677 Database

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Magma 17308306cc5b…

magma 17308306cc5b
Size
49
Isomorphism class hash
17308306cc5b8d9c61349d35b814f80cb209655c7344fd42c277638cc87a50af
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:40
Display reorder
48,42,47,43,45,44,46,31,34,27,0,36,17,8,10,5,35,13,26,21,39,19,38,6,18,32,9,1,12,24,20,41,3,15,33,7,4,30,16,25,22,37,11,29,2,28,23,40,14 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) right-cancellative fiber bundle: F_7(4, 1) base × F_7(4, 3) fiber. The 49 elements partition into 7 fibers of 7 (an F_7-quotient congruence). One fiber is itself a sub-magma — the fiber at the F_7-idempotent coset, ≅ F_7(4, 3). In addition there is exactly one extra 7-element sub-magma, a transversal that hits each fiber in exactly one element. The 2 size-7 sub-magmas (1 closed fiber + 1 transversal) form a small AG(2,7)-pencil fragment. Quasigroup (LC + RC) with a unique idempotent.

last edited by dwrensha at 2026-04-29 15:53:16 · history