Timeline for Three questions on large simple groups and model theory
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| Jul 27, 2010 at 7:09 | comment | added | Pete L. Clark | Thanks, John. I actually had the ultraproduct of the finite fields of order $p$ in mind (like any good "field arithmetician"). Why I gave up on this construction as showing that the simple groups do not form an elementary class is beyond me -- I guess I was focusing more on the harder question of whether the class is preserved by elementary equivalence. (And, as a jouryneyman model theorist, I still occasionally get confused by the fact that "class preserved by elementary equivalence" $\neq$ "elementary class". Couldn't the terminology be a little better here?!?) | |
| Jul 27, 2010 at 3:36 | history | answered | John Goodrick | CC BY-SA 2.5 |