Generator-offset property: Difference between revisions
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=== Conjecture ("MV3 Structure Theorem") === | === Conjecture ("MV3 Structure Theorem") === | ||
==== Conjecture 1 ==== | ==== Conjecture 1 ==== | ||
If a non-multiperiod 3-step size scale word ax by cz is | If a non-multiperiod 3-step size scale word ''ax by cz'' is | ||
# unconditionally MV3, | # unconditionally MV3, | ||
# has ''odd'' cardinality, | # has ''odd'' cardinality, | ||
# has gcd(a, b, c) = 1, | # has gcd(''a'', ''b'', ''c'') = 1, | ||
# is not of the form ''xyzyx'' or ''xyxzxyx'', | # is not of the form ''xyzyx'' or ''xyxzxyx'', | ||
then it is GO (and therefore SGA). (a converse to Theorem 1) | then it is GO (and therefore SGA). (a converse to Theorem 1) | ||