My guess that it should not be possible because $SL_2(R)$ would not have a 3-soluble nonnilpotent subgroup. I am not sure whether it is true that any soluble non-nilpotent subgroup would lie in Borel subgroup but I imagine that this is right...
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My guess that it should not be possible because $SL_2(R)$ would not have a 3-soluble subgroup. I am not sure whether it is true that any soluble subgroup would lie in Borel subgroup but I imagine that this is right... |
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