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Questions about the branch of algebra that deals with groups.

10 votes

Heuristic argument that finite simple groups _ought_ to be "classifiable"?

There is an interesting result of U. Felgner (MR1107758, see also MR1477188): simplicity is an elementary statement in the class of finite non-abelian groups. E.i. he showed that there is a first or …
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3 votes

Three questions on large simple groups and model theory

In the Lascar theorem (posted by Pete) there is an assumption that the transcendence degree of $L$ over $K$ is uncountable (MR1689847 (2000g:20009) ). For a countable transcendence degree something we …
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