Timeline for Which finite groups can be characterized by their automorphism groups?

9 events

when toggle format	what		by	license	comment
Dec 24, 2015 at 11:43	answer	added	Geoff Robinson		timeline score: 2
Dec 23, 2015 at 10:09	comment	added	R. Shhaied		Sorry, Aut(H)≅Aut(G) implies H≅G?
Dec 23, 2015 at 10:00	history	edited	R. Shhaied	CC BY-SA 3.0	Aut(H)≅Aut(G)
Dec 23, 2015 at 9:08	comment	added	Alain Valette		Carmichael's conjecture states that the equation $\varphi(x)=n$ (where $n$ is given) never has a unique solution. This amounts to saying that the finite cyclic group $\mathbb{Z}/n\mathbb{Z}$ is never characterized by the order of its automorphism group.
Dec 23, 2015 at 9:07	comment	added	verret		You need to be more precise about what you mean by $Aut(H)=Aut(G)$. Do you mean that $Aut(H)$ is isomorphic (as an abstract group) to $Aut(G)$?
Dec 23, 2015 at 7:45	history	edited	Todd Trimble		edited tags
S Dec 23, 2015 at 6:43	history	suggested	AHusain	CC BY-SA 3.0	Finite in the question but cyclic in the title.
Dec 23, 2015 at 5:41	review	Suggested edits
S Dec 23, 2015 at 6:43
Dec 23, 2015 at 4:28	history	asked	R. Shhaied	CC BY-SA 3.0