Codimension 2
From Mathematics
(→Elementary algebraic K-Theory: K2) |
(→Elementary algebraic K-Theory: K_2) |
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= Elementary algebraic K-Theory: <math>K_2</math> = | = Elementary algebraic K-Theory: <math>K_2</math> = | ||
| − | * Definition of <math>K_2</math> | + | * Motivation of higher K-group by non-exactness of the localization sequence on the left |
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| + | * For a ring <math>R</math> define the Steinberg groups <math>St_n(R)</math> and <math>St(R)</math>, Definition p.40<ref name="Mil71"/>. | ||
| + | * Definition of <math>K_2(R)</math> as the Kernel of the map <math>St(R) \rightarrow \mathrm{GL}(R)</math>, p.40<ref name="Mil71"/>. | ||
| + | * Sketch of proof Theorem 5.1<ref name="Mil71"/>. | ||
* Introduction of Milnor K-groups <math>K_n^M</math> and proof of the statement | * Introduction of Milnor K-groups <math>K_n^M</math> and proof of the statement | ||
