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1. • CommentRowNumber1.
   • CommentAuthorJohn Baez
   • CommentTimeMar 11th 2025
   • PermaLink
   Author: John Baez
   Format: MarkdownItexDraft of a proof of Artin's induction theorem. I recently took the proof on Wikipedia, which was terribly written, and improved it a lot. This is essentially the same as what I wrote there. <a href="https://ncatlab.org/nlab/revision/Artin%27s+induction+theorem/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Artin%27s+induction+theorem">current</a>

   Draft of a proof of Artin’s induction theorem. I recently took the proof on Wikipedia, which was terribly written, and improved it a lot. This is essentially the same as what I wrote there.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorJohn Baez
   • CommentTimeMar 11th 2025
   • PermaLink
   Author: John Baez
   Format: MarkdownItexChanged name to "Artin induction theorem". <a href="https://ncatlab.org/nlab/revision/Artin+induction+theorem/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Artin+induction+theorem">current</a>

   Changed name to “Artin induction theorem”.

   v1, current

3. • CommentRowNumber3.
   • CommentAuthorJohn Baez
   • CommentTime7 days ago
   • PermaLink
   Author: John Baez
   Format: MarkdownItexSimplified the proof by black-boxing a fact about linear algebra into "Lemma 2". <a href="https://ncatlab.org/nlab/revision/diff/Artin+induction+theorem/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Artin+induction+theorem/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Artin+induction+theorem">current</a>

   Simplified the proof by black-boxing a fact about linear algebra into “Lemma 2”.

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTime6 days ago
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave hyperlinked more of the technical terms (notably *[[induced representation]]*) and brought in the reference being reviewed: * [[Jean-Pierre Serre]]: *Artin's theorem*, chapter 9 in: *Linear Representations of Finite Groups*, Graduate Texts in Mathematics **42**, Springer (1977) &lbrack;[doi:10.1007/978-1-4684-9458-7](https://doi.org/10.1007/978-1-4684-9458-7), [pdf](https://www.math.tau.ac.il/~borovoi/courses/ReprFG/Hatzagot.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Artin+induction+theorem/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Artin+induction+theorem/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Artin+induction+theorem">current</a>

   have hyperlinked more of the technical terms (notably induced representation)

   and brought in the reference being reviewed:

   • Jean-Pierre Serre: Artin’s theorem, chapter 9 in: Linear Representations of Finite Groups, Graduate Texts in Mathematics 42, Springer (1977) [doi:10.1007/978-1-4684-9458-7, pdf]

   diff, v7, current