Timeline for Endofunctors on the category of groups which are Galois- related to a linear map on $\mathbb{Q}[x]$
Current License: CC BY-SA 3.0
16 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 29, 2015 at 16:22 | comment | added | Ali Taghavi | @QiaochuYuan Thanks for your comment. However for a particular functor "commutator" the answer to this question is negative, see this post mathoverflow.net/questions/219076/…, but this negative answer contains very interesting idea. So, what about if we consider some other functors? | |
| Sep 28, 2015 at 21:11 | comment | added | Qiaochu Yuan | I don't see any reason to expect that such things exist, or any use to which they might be put if they did. The operation sending a polynomial to its Galois group is very sensitive and I don't expect it to have basically any good behavior. | |
| Sep 28, 2015 at 16:50 | history | edited | Arturo Magidin | CC BY-SA 3.0 |
put link to previous question, some rephrasings.
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| Sep 28, 2015 at 16:43 | comment | added | Ali Taghavi | @ArturoMagidin Thank you. I revise the title. | |
| Sep 28, 2015 at 16:41 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
edited title
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| Sep 28, 2015 at 16:27 | comment | added | Arturo Magidin | I think the title is misleading. You are not seeking a "functorial approach to Galois theory". You are asking a question about functors and Galois theory, but you are not trying to approach Galois theory functorially. | |
| Sep 28, 2015 at 16:20 | comment | added | Ali Taghavi | @j.c. You are welcome. Thank you for your suggestions. based on your comment, I revised the question. | |
| Sep 28, 2015 at 16:17 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
Some clarification
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| Sep 28, 2015 at 12:11 | comment | added | Ali Taghavi | @DimaSustretov $T$ is $\mathbb{Q}$-linear on vector space $\mathbb{Q}[x]$. Please see the linked question. | |
| Sep 28, 2015 at 12:09 | comment | added | j.c. | Thanks, I was confused! It might help to include a little more background from the other question to keep this one self-contained. Also it may help to use the term "endofunctor". | |
| Sep 28, 2015 at 12:07 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
edited title
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| Sep 28, 2015 at 12:07 | comment | added | Ali Taghavi | @j.c. $\mathcal{F}$ is a functor on category of groups, for example, in the linked question I considered $\mathcal{F}= commutator$ and according to the answer to that question I realized that this functor is Galoois related to no linear map $T$. | |
| Sep 28, 2015 at 11:24 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 37 characters in body
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| Sep 28, 2015 at 11:16 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
deleted 1 character in body
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| Sep 28, 2015 at 11:09 | history | asked | Ali Taghavi | CC BY-SA 3.0 |