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Timeline for Normal Covering of a Finite Group

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Nov 20, 2014 at 9:01 comment added MCC Yes, you're right, it does. However, the preceding result in that paper requires a little more work, though still uses the Brodie-Chamberlain-Kapp result. Proposition 5.4. Let $G$ be a finitely generated group with only finitely many distinct finite simple quotients. Then $G$ is F-A if and only if $G^{ab}$ is noncyclic.
Nov 20, 2014 at 1:13 comment added Anton Klyachko This Corollary 5.5 follows immediately from the theorem of Brodie, Chamberlain and Kapp, PAMS 1988, see Nick Gill's answer: mathoverflow.net/a/185604/24165 .
Nov 20, 2014 at 1:08 review First posts
Nov 20, 2014 at 1:43
Nov 20, 2014 at 1:03 history answered MCC CC BY-SA 3.0