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Results tagged with gr.group-theory
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user 52824
Questions about the branch of algebra that deals with groups.
13
votes
Accepted
Is every closed subgroup of $\text{GL}_n(K[[x]])$ finitely generated?
This question has a negative answer is many respects. Firstly, there are simple constructions in the commutative case. Namely, the additive group $K[\![x]\!]$ is an infinite dimensional $\mathbb F_p …
3
votes
Accepted
on lifting extensions
There is always the uninteresting example $\widetilde{G} = G \times Z$ relative to a choice of splitting of $\widetilde{T}$ as a central extension of $T$ by $Z$ (as may be chosen since you assumed the …
- 1,285