How can I argue that there are no composition series for the braid groups or the general linear group $GL(n,\mathbb{R})$ ?
I have already learned that this is related to the infinite abelianization of these groups.
But it is not clear to me why I can conclude from an infinite abelianization that there is no composition series for these infinite groups.
I would be very happy if someone could explaint this to me.
2026-03-25 17:20:56.1774459256
Existence of composition series of infinite groups (especially the braid groups and the general linear group)
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