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What are the normal subgroups of general linear group?

Anonymous

∙ 13y ago

Updated: 4/28/2022

The special linear group, SL(n,R), is a normal subgroup of the general linear subgroup GL(n,R).

Proof: SL(n,R) is the kernel of the determinant function, which is a group homomorphism. The kernel of a group homomorphism is always a normal subgroup.

Wiki User

∙ 13y ago

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