Timeline for Sylow $p$-subgroup of GL [closed]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Jun 4, 2020 at 4:12 | history | closed |
Ben McKay Mark Wildon Jens Reinhold D.-C. Cisinski Bugs Bunny |
Not suitable for this site | |
| May 21, 2020 at 10:22 | review | Close votes | |||
| Jun 4, 2020 at 4:12 | |||||
| Jul 9, 2019 at 22:50 | review | Close votes | |||
| Jul 11, 2019 at 0:23 | |||||
| Jun 2, 2019 at 2:50 | review | Close votes | |||
| Jun 3, 2019 at 20:33 | |||||
| Jun 1, 2019 at 22:54 | history | edited | YCor | CC BY-SA 4.0 |
formatting; added tag
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| May 31, 2013 at 6:02 | vote | accept | user33209 | ||
| May 31, 2013 at 6:02 | vote | accept | user33209 | ||
| May 31, 2013 at 6:02 | |||||
| May 13, 2013 at 20:12 | comment | added | Jim Humphreys | @unknown: In a research paper, I'd probably just refer to this basic example (it's not a real theorem) as "well known". But if pressed to supply a published reference, I'd still emphasize the elementary nature of the example by citing Exercise 8.9 in J.-P. Serre, Linear Representations of Finite Groups, Springer, 1977 (English translation of an earlier French edition). The computation of group and subgroup orders here is straightforward, as other suggested references indicate. | |
| May 12, 2013 at 0:03 | answer | added | user6976 | timeline score: 1 | |
| May 11, 2013 at 13:20 | comment | added | Jim Humphreys | @unknown: This is far from a research-level question, being well-known for generations and written down in textbooks. All it requires it the easy computation of the group and subgroup orders. Did you try first at math.stackexchange.com? | |
| May 11, 2013 at 10:50 | comment | added | Henry.L | For the Sylow-group theory, I like Hungerford's deployment very much. | |
| May 11, 2013 at 10:42 | comment | added | Filippo Alberto Edoardo | You can find this as Example 2.1 of the beautiful <a href="arxiv.org/pdf/math/0503154v6.pdf"> small book by J.-P. Serre </a> on finite groups. | |
| May 11, 2013 at 9:42 | comment | added | Geoff Robinson | This is proved in Herstein's book "Topics in Algebra" for example-maybe second or third edition. Once you know the order of ${\rm GL}$,it is a matter of verifying that the index of the subgroup of upper unitriangular matrices is prime to $p,$ which is clear. | |
| May 11, 2013 at 9:38 | answer | added | Jay Taylor | timeline score: 5 | |
| May 11, 2013 at 8:16 | history | asked | user33209 | CC BY-SA 3.0 |