Timeline for Number of finite simple groups of given order is at most 2 - is a classification-free proof possible?
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Sep 19, 2011 at 22:20 | history | edited | Alon Amit | CC BY-SA 3.0 |
Added a few LaTeX tags.
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Aug 9, 2010 at 13:30 | comment | added | fherzig | I don't know though how long it took for the two groups to be proven isomorphic, I see that $H$ was only found in 1967. | |
Aug 9, 2010 at 13:27 | comment | added | fherzig | Nice answer! A related comment: in Steinberg's 1967 Yale notes there is a discussion of known finite simple groups. "The group $H$ of D. Higman and Sims [...] Inspired by this construction, G. Higman then constructed his own group [$H'$] in terms of a very special geometry invented for the occasion. The two groups have the same order [44352000], and everyone seems to feel that they are isomorphic, but no one has yet proved this." | |
Aug 4, 2010 at 4:47 | vote | accept | Simon Nickerson | ||
Aug 3, 2010 at 20:06 | history | answered | Richard Borcherds | CC BY-SA 2.5 |