Following this question I wonder about the following. Examples of infinite torsion groups which are linear in zero characteristic are infinite groups of roots of unit.

1. Are there other examples which do not contain examples as above as subgroups?

2. Are there non-abelian examples? (How far can they be from abelian?)

(Note that the groups have to be infinitely generated and not of finite exponent.)

Following this question I wonder about the following. Examples of infinite torsion groups which are linear in zero characteristic are infinite groups of roots of unit.

1. Are there other examples which do not contain examples as above as subgroups?

2. Are there non-abelian examples? (How far can they be from abelian?)

(Note that the groups have to be infinitely generated and not of finite exponent.)