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Questions about the branch of algebra that deals with groups.
11
votes
1
answer
656
views
HNN-extension as a 2-colimit
In the spirit of this question, it would be interesting to give a characterization of HNN extensions as a 2-colimit. If $G$ is a group and $\alpha:H \xrightarrow{\cong} K$ is an isomorphism between tw …
5
votes
1
answer
268
views
Do all finite-dimensional division algebras appear as Wedderburn factors of rational group r...
Suppose that $D$ is a division algebra that is finite-dimensional over $\Bbb Q$, does there exist a finite group $G$ such that one of the factors in the Wedderburn decomposition of $\Bbb Q[G]$ is a ma …