Timeline for Sylow Subgroups
Current License: CC BY-SA 2.5
6 events
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Mar 26, 2010 at 13:30 | comment | added | Vipul Naik | Yes, I had forgotten to mention that. Not just GL_n(F_p), but also GL_n(F_q) where q is a power of p. | |
Mar 26, 2010 at 13:29 | history | edited | Vipul Naik | CC BY-SA 2.5 |
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Mar 26, 2010 at 11:25 | comment | added | Vladimir Dotsenko | That's a very good point! By the way, something that you probably thought too obvious to mention when revealing this remarkable analogy, is that for GL_n(F_p), maximal unipotent subgroups ARE Sylow subgroups :-) | |
Mar 26, 2010 at 2:08 | comment | added | Vipul Naik | Yes, that's true, because Sylow was thinking of things in terms of permutation groups, and to the best of my knowledge did not explore the connection with linear groups or algebraic groups. Still, it's worth noticing that there are multiple reasons why one might suspect a statement to be true, or at least plausible. | |
Mar 26, 2010 at 2:02 | comment | added | Mariano Suárez-Álvarez | All this, though, cannot have been what suggested the Sylow theorem to Sylow! | |
Mar 26, 2010 at 1:43 | history | answered | Vipul Naik | CC BY-SA 2.5 |