A true relative of Suslin's normality theorem

preprint2014arXivOpen access

We prove a normality theorem for the "true" elementary subgroups of $SL_n(A)$ defined by the ideals of a commutative unital ring $A$ . Our result is an analogue of a normality theorem, due to Suslin, for the standard elementary subgroups, and it greatly generalizes a theorem of Mennicke.

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A true relative of Suslin's normality theorem

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