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General Linear group #2006
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@ThomatoTomato Would you like to have a go at defining the general linear group once #2005 is merged? It should be in |
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#2005 adds notions of invertibility for rings. It also defines the group of units of a ring. This should allow us to define$\mathrm{GL}_n(R)$ over an arbitrary ring.
I'm not sure what else we can prove about$\mathrm{GL}_n(R)$ for an arbitrary ring $R$ , once we have determinants it would be possible to define $\mathrm{SL}_n(R)$ and show we have an exact sequence of groups:
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