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Timeline for When is Inn(X) simple?

Current License: CC BY-SA 2.5

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Nov 24, 2010 at 8:23 history edited Alex B. CC BY-SA 2.5
Added link to covers of An, retracted false conjecture
Nov 22, 2010 at 22:01 comment added Jack Schmidt Derek's counterexample is SmallGroup(240,93): 4 Y SL(2,5).
Nov 22, 2010 at 16:10 comment added Alex B. I have tried to make it clearer.
Nov 22, 2010 at 16:09 history edited Alex B. CC BY-SA 2.5
Clarified the analysis of quasi-simple vs "simple modulo centre"
Nov 22, 2010 at 15:42 comment added Makhalan Duff mmm... Why are you saying that $X/X'$ is simple in the case that $X' \leq Z$? Wouldn't $Z/X'$ usually be a non-trivial normal subgroup of $X/X'$?
Nov 22, 2010 at 15:11 history edited Alex B. CC BY-SA 2.5
Modified the reference to quasi-simple groups; added 27 characters in body
Nov 22, 2010 at 14:58 comment added Alex B. I first thought that this requirement was automatically satisfied, if your group isn't a direct product, but now I am not so sure. I will modify the post. But "simple modulo the centre" is definitely the term you are looking for.
Nov 22, 2010 at 14:35 comment added Makhalan Duff Ah! I didn't know about quasi-simple groups. You say it's equivalent to quasi-simple? What about the requirement there that $X'=X$? In any case, it gives a nice family of examples.
Nov 22, 2010 at 14:29 history answered Alex B. CC BY-SA 2.5