Timeline for Subgroup structure of certain maximal subgroups of PSL$(3,q)$
Current License: CC BY-SA 4.0
19 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2022 at 1:11 | comment | added | David Roberts♦ | The second link in Jim Humphrey's comment is broken, a replacement is arxiv.org/abs/math/0111043 | |
| Dec 25, 2021 at 11:52 | comment | added | Maarten Derickx | P.s. if you want an explicit example of the matrices in Dereks ${\rm PSL}(3,11)$ example take $s = \left(\begin{array}{rrr} 4 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 3 & 0 \end{array}\right) $. I am also worried about the argument the authors present cause they claim that R is the center of the group, which it is not. The matrix s is diagonalizable, so it could very well be in the image of one of the inertia matrices described in section 4 after choosing a different basis. There is an honest problem in the argument as written, and I would contact the authors privately to ask for clarification. | |
| Dec 25, 2021 at 7:50 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
replaced the link to the arXiv front end; see https://meta.mathoverflow.net/questions/5124/is-it-time-to-replace-links-to-the-ucdavis-arxiv-frontend
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| S Jul 14, 2017 at 15:11 | history | suggested | Martin Sleziak | CC BY-SA 3.0 |
corrected link - see https://meta.mathoverflow.net/questions/3193/edits-with-links-to-material-under-restricted-access#comment14185_3193
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| Jul 14, 2017 at 14:53 | review | Suggested edits | |||
| S Jul 14, 2017 at 15:11 | |||||
| Apr 2, 2017 at 16:55 | comment | added | Derek Holt | For an example in odd characteristic, ${\rm PSL}(3,11)$ has a maximal (imprimitive) subgroup with structure $10^2:S_3$. For $P(G)$ we can take its (maximal) subgroup with structure $5^2:S_3$, which is still irreducible. It has elements of order $10$. I have spent a lot of my time during the past several years working on the structure of the maximal subgroups of the classical groups, so I have become very familiar with them. That's how I thought of these examples. | |
| Apr 2, 2017 at 13:44 | comment | added | mdave16 | Do you have another example like this one, but not over a field of characteristic 2? The authors of this paper wouldn't have been considering characteristic 2. Thank you! | |
| Apr 2, 2017 at 13:21 | comment | added | mdave16 | There is a description of (the image of) the inertia subgroup in section 5 of Dieulefait and Vila's paper. But for this you would need to know the definition of a fundamental character. There's a nice [post here][1] explaining them. If you're happy to read about them. How did you find this example? I would like to have a look at these subgroups too, if possible. [1]:mathoverflow.net/questions/44654/… | |
| Apr 2, 2017 at 12:50 | comment | added | Derek Holt | In general there are cyclic subgroups of $P(G)$ that are not contained in $R$. For example, the maximal subgroup of ${\rm PSL}(3,8)$ with structure $7^2:S_3$ has elements of order $14$. But I am unsure of the definition of the inertia subgroup $I$. | |
| Apr 2, 2017 at 12:31 | history | edited | mdave16 | CC BY-SA 3.0 |
added 441 characters in body; edited tags; edited title
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| S Apr 2, 2017 at 8:14 | history | suggested | CommunityBot | CC BY-SA 3.0 |
Fixed links, and made context clearer.
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| Apr 2, 2017 at 8:08 | review | Suggested edits | |||
| S Apr 2, 2017 at 8:14 | |||||
| Apr 1, 2017 at 20:10 | history | edited | Todd Trimble | CC BY-SA 3.0 |
improved links
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| Apr 1, 2017 at 20:09 | history | edited | Asaf Karagila♦ | CC BY-SA 3.0 |
deleted 86 characters in body
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| Apr 1, 2017 at 19:05 | comment | added | Jim Humphreys | It's useful to add more specific links to the article, which was published in 2004 (ams.org/mathscinet-getitem?mr=2045504) but appeared earlier in preprint form (front.math.ucdavis.edu/0111.5043). | |
| S Apr 1, 2017 at 18:57 | history | suggested | CommunityBot | CC BY-SA 3.0 |
Added link to article, and fixed a latex issue.
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| Apr 1, 2017 at 18:33 | review | Suggested edits | |||
| S Apr 1, 2017 at 18:57 | |||||
| Apr 1, 2017 at 17:21 | review | First posts | |||
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| Apr 1, 2017 at 17:17 | history | asked | mdave16 | CC BY-SA 3.0 |