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Results tagged with gr.group-theory
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user 110362
Questions about the branch of algebra that deals with groups.
12
votes
Accepted
Does $G_2(\mathbb{Z})$ depend on the choice of an integral model?
The short answer is no, because a Chevalley group has infinitely many $\mathbb{Z}$-points (even Zariski dense by the Borel density theorem).
For the long answer, let me first completely describe all $ …
- 984
5
votes
Accepted
Properties of stabilizers of adjoint action general linear group
This is true and follows from:
Claim: Let $x$ be a $n\times n$ matrix with $\mathbb{C}$-coefficients. Then the centralizer $C(x)$ of $x$ in $GL_n(\mathbb{C})$ fits into a short exact sequence $1\right …
- 984