Timeline for Are indecomposable representations of a finite group of Lie type absolutely indecomposable?
Current License: CC BY-SA 3.0
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| Mar 27, 2018 at 10:39 | vote | accept | spin | ||
| Mar 26, 2018 at 17:55 | comment | added | Jim Humphreys | P.S. Note that, as usual when considering Sylow $p$-subgroups, it's convenient to consider only finite simple groups here. There are also some close relatives such as $\mathrm{SL}(2, p)$ for $p>3$ having finite representation type. | |
| Mar 24, 2018 at 20:20 | comment | added | Jim Humphreys | Sorry to have misunderstood at first what you were asking. As Jeremy Rickard points out, there is a problem when the finite group fails to have finite representation type. This is clear for groups of Lie type in the defining characteristic: see section 8.9 in my 2006 survey LMS Lecture Notes 326. Only SL(2,8) and PSL(2,p) for p>3 have cyclic Sylow p-subgroups. In other cases one typically doesn't know much about most of the indecomposable modules. | |
| Mar 24, 2018 at 19:56 | answer | added | Jeremy Rickard | timeline score: 9 | |
| Mar 23, 2018 at 14:43 | history | edited | spin | CC BY-SA 3.0 |
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| Mar 23, 2018 at 12:42 | history | asked | spin | CC BY-SA 3.0 |