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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 of a ring is the universal central extension of the commutator subgroup of the stable general linear group of . It is named after Robert Steinberg, and it is connected with lower -groups, notably and . == Definition ==
Abstractly, given a ring , the Steinberg group 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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