Timeline for Are finite-dimensional representations of groups of type $\text{FP}_{\infty}$?
Current License: CC BY-SA 4.0
21 events
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Jun 11, 2018 at 21:25 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
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Jun 11, 2018 at 21:02 | comment | added | Benjamin Steinberg | @AndyPutman, I cleaned up the proof. | |
Jun 11, 2018 at 21:02 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
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Jun 11, 2018 at 20:51 | comment | added | Andy Putman | Always happy to help! | |
Jun 11, 2018 at 20:49 | comment | added | Benjamin Steinberg | @AndyPutman, thanks for recovering this history. I don't have access to Comm in Algebra and had a wrong impression which paper proved it. | |
Jun 11, 2018 at 20:49 | comment | added | Andy Putman | I can't even remember what I was doing last week! Probably the answer should be cleaned up so that a reader can find the original reference without wading through the comments. Pride's proof is super-short (one could read and absorb it in 5-10 minutes). | |
Jun 11, 2018 at 20:48 | comment | added | Benjamin Steinberg | @AndyPutman, I was working from memory 4 years ago and apparently my memory was not working. | |
Jun 11, 2018 at 20:47 | comment | added | Andy Putman | Kobayashi's paper cites Pride and attributes the result to him. | |
Jun 11, 2018 at 20:46 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
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Jun 11, 2018 at 20:43 | comment | added | Benjamin Steinberg | I think it is not in that paper and I had meant to cite the paper of Kobayashi. | |
Jun 11, 2018 at 20:36 | comment | added | Andy Putman | I don't know the history, so I can't say anything there. But I have trouble locating the result you are talking about in Kobayashi-Otto's paper (indeed, it looks like they only talk about monoids, not groups). Can you point out where it is? | |
Jun 11, 2018 at 20:28 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
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Jun 11, 2018 at 20:26 | comment | added | Benjamin Steinberg | @AndyPutman, I believe it was already known that bi-FP_n=FP_n for groups when Pride wrote this. I think I got confused the first time as to which paper proved it first. I'm not sure the publication dates of the communications in algebra papers reflect when they are written. | |
Jun 11, 2018 at 20:18 | comment | added | Andy Putman | Even after the edit, are you sure you linked to the paper you wanted to link to? I believe that the result you refer to is Theorem 2 in tandfonline.com/doi/abs/10.1080/00927870600796110 | |
Jun 11, 2018 at 20:04 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
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Mar 10, 2014 at 3:52 | vote | accept | Albert | ||
Mar 10, 2014 at 0:52 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
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Mar 9, 2014 at 21:29 | comment | added | Benjamin Steinberg | @Mariano, that was the argument in [10]. Thanks! | |
Mar 9, 2014 at 21:11 | comment | added | Mariano Suárez-Álvarez | Exactness is preserved because the complex resulting of tensoring by $M$ computes $Tor^{kG}(M,kG)$. | |
Mar 9, 2014 at 20:49 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
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Mar 9, 2014 at 20:25 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 |