Mathematical theory of saturation: Difference between revisions
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To test for saturation, we may take the wedge product of the generators. Wedging {{map|26 41 60 72}} with {{map|12 19 28 34}} gives us {{multimap|2 8 20 8 26 24}}; this is not zero, so the rank of the group these generate is two. However the coefficients have a gcd of two, and hence the group is not saturated; for saturation, the coefficients must be relatively prime, with a gcd of one. | To test for saturation, we may take the wedge product of the generators. Wedging {{map|26 41 60 72}} with {{map|12 19 28 34}} gives us {{multimap|2 8 20 8 26 24}}; this is not zero, so the rank of the group these generate is two. However the coefficients have a gcd of two, and hence the group is not saturated; for saturation, the coefficients must be relatively prime, with a gcd of one. | ||
[[Category:math]] | [[Category:math]] | ||