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Steinberg group (K-theory) : ウィキペディア英語版
Steinberg group (K-theory)
In algebraic K-theory, a field of mathematics, the Steinberg group \operatorname(A) of a ring A is the universal central extension of the commutator subgroup of the stable general linear group of A .
It is named after Robert Steinberg, and it is connected with lower K -groups, notably K_ and K_ .
== Definition ==

Abstractly, given a ring A , the Steinberg group \operatorname(A) is the universal central extension of the commutator subgroup of the stable general linear group (the commutator subgroup is perfect and so has a universal central extension).
Concretely, it can be described using generators and relations.

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