Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebraic K-theory, a field of mathematics, the Steinberg group operatorname{St}(A) of a ring A, is the universal central extension of the commutator subgroup of the stable general linear group. It is named after Robert Steinberg, and is connected with lower K-groups, notably K2 and K3.Abstractly, given a ring A, the Steinberg group operatorname{St}(A) is the universal central extension of the commutator subgroup of the stable general linear group (the commutator subgroup is perfect, hence has a universal central extension). Concretely, it can also be described by generators and relations.
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