Timeline for Groups with trivial centralizer-connected component

10 events

when toggle format	what		by	license	comment
Oct 22, 2011 at 8:47	vote	accept	Drike
Oct 22, 2011 at 8:47
Oct 21, 2011 at 13:17	vote	accept	Drike
Oct 21, 2011 at 13:17
Oct 21, 2011 at 10:25	comment	added	Drike		@Ashot - my mistake, I thought "my" property was preserved when going to a subgroup, but it is not.
Oct 21, 2011 at 9:43	comment	added	Ashot Minasyan		@Drike, I am not sure what you mean by saying that the "property is preserved by inverse image of embeddings". The construction above shows that a group with your property has a normal subgroup N (consisting of elements with finite conj. classes), but you have almost no control of what happens outside of N.
Oct 21, 2011 at 7:33	comment	added	HJRW		@Drike - no it's not. For instance, $\mathbb{Z}$ doesn't have your property.
Oct 21, 2011 at 6:35	comment	added	Drike		@Ashot : thanks for spotting the link with residually finite groups. But there is something I do not understand. "My" property is preserved by inverse image of embeddings, so you seem to be claiming that it is equivalent to being residually finite.
Oct 19, 2011 at 20:43	history	edited	Ashot Minasyan	CC BY-SA 3.0	added 895 characters in body
Oct 19, 2011 at 12:02	history	edited	Ashot Minasyan	CC BY-SA 3.0	edited body
Oct 19, 2011 at 11:15	history	edited	Ashot Minasyan	CC BY-SA 3.0	deleted 1 characters in body
Oct 19, 2011 at 10:07	history	answered	Ashot Minasyan	CC BY-SA 3.0