
Steinberg Group (K-Theory)
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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 s...
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.