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Results tagged with gr.group-theory
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user 5952
Questions about the branch of algebra that deals with groups.
9
votes
2
answers
1k
views
Extensions of an infinite product of copies of Z by Z
The question is simple:
Let $P$ be an infinite direct product of copies of $\mathbb Z$. Do there exist any nontrivial extensions
$$0 \to \mathbb Z \to E \to P \to 0$$
in the category of commutative g …
- 321
11
votes
Accepted
Two Definitions of "Character" of topological groups
I am assuming all groups we are talking about are locally compact and commutative.
The two definitions indeed do ageree on profinite groups. To prove it, you have to check that the functors $Hom(-,\m …
- 4,015