Equation 677 Database

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Magma 831590d70812…

magma 831590d70812
Size
49
Isomorphism class hash
831590d70812e68344934b9268cd25bdf4ddf964844fda821d01b992ba0d33d8
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:51
Display reorder
48,42,47,43,45,44,46,0,1,2,3,4,5,36,12,13,14,15,16,17,41,30,31,32,33,34,35,37,24,25,26,27,28,29,39,18,19,20,21,22,23,38,6,7,8,9,10,11,40 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Size-49 (= 7²) right-cancellative fiber bundle: F_7(4, 3) 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 15:53:29 · history