Equation 677 Database

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Magma 508cfe4539f1…

magma 508cfe4539f1
Size
49
Isomorphism class hash
508cfe4539f15cff6cc738c716e9b22f5619d645dfed26166728e0e9f83cc4c8
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
bulk-import-memoryleak47
Submitted at
2026-04-23 20:58:43
Display reorder
48,36,37,41,38,39,40,2,6,7,35,0,5,47,3,46,9,1,8,29,10,33,28,4,43,27,34,26,30,15,11,45,14,12,13,20,18,19,31,16,17,42,32,25,21,44,24,22,23 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, 1) 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, 1). 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 15:53:17 · history