Timeline for How many ways can I factor a matrix (over $\mathbb{Z}$)?
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4 events
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| Mar 30, 2016 at 6:06 | comment | added | Simon Rose | Well... I think that depends on the definition of $GL_2Z$ being used. I've been thinking of this as $GL_2Z = \{A \in M_2Z \mid \det A = \pm 1\}$, in which case that is a different relation. But as David points out below, it's still the wrong relation, so the point is kind of moot. | |
| Mar 29, 2016 at 22:34 | comment | added | Kevin Casto | Notice that your second equivalence relation is just $(X,Y) \sim (k^{-1}X, kY)$, which is just the same as the action of scalar matrices, so you don't gain anything by quotienting by it. | |
| Mar 29, 2016 at 14:26 | answer | added | David E Speyer | timeline score: 15 | |
| Mar 29, 2016 at 14:01 | history | asked | Simon Rose | CC BY-SA 3.0 |