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Questions about the branch of algebra that deals with groups.

13 votes
2 answers
1k views

What is the universal property of the Weyl group?

If $G$ is a group and $H\le G$ a subgroup, let $NH$ denote the normalizer of $H$ in $G$, and let $WH = NH/H$; following May's Concise Course, §3.4 this I call the Weyl group. I have also seen the defi …
2 votes
2 answers
264 views

Automorphisms and Bicategories

Sorry if this isn't the right place for this, it hasn't gotten any answers on ME. I'm reading Lang's section on field theory and he stresses that, unlike typical "universal" constructions which are de …