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Oct 19, 2014 at 16:29 comment added Andreas Thom Any ultraproduct of simple groups has this property, but this is a non-trivial fact.
Oct 19, 2014 at 14:20 history edited Ricardo Andrade CC BY-SA 3.0
replaced tag 'normal-groups'; added tag 'reference-request'
Mar 15, 2011 at 13:02 vote accept Amin
Mar 15, 2011 at 13:01 comment added Amin @ Tom Thank you Tom. You are right. I modifies it.
Mar 15, 2011 at 12:49 history edited Amin CC BY-SA 2.5
added 15 characters in body
Mar 14, 2011 at 21:38 answer added Jack Schmidt timeline score: 7
Mar 14, 2011 at 17:28 comment added ndkrempel A minor improvement: any nilpotent group with this property is cyclic.
Mar 14, 2011 at 14:36 comment added Tom De Medts Your statement "Indeed, every abelian group with this property is cyclic (and vice versa)" is not correct; only cyclic groups of prime power order have this property.
Mar 14, 2011 at 14:07 history edited Amin CC BY-SA 2.5
edited body
Mar 14, 2011 at 13:17 history edited Amin
edited tags
Mar 14, 2011 at 13:02 history asked Amin CC BY-SA 2.5