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According to my understanding (in Theravada tradition) and with the context of your question (Violence in the context of "radical Buddhism"), there is no room for any form of violence. Buddhist teaching does not encourage violence by any means even in solving human conflicts and social problems.
For example in Dhammapada there are several verses discourage the violence acts.
Verse 129:
All are afraid of the stick, all fear death. Putting oneself in another's place, one should not beat or kill others.
Verse 130:
All are afraid of the stick, all hold their lives dear. Putting oneself in another's place, one should not beat or kill others.
Verse 131:
He who seeks his own happiness by oppressing others, who also desire to have happiness, will not find happiness in his next existence.
Verse 132:
He who seeks his own happiness by not oppressing others, who also desire to have happiness, will find happiness in his next existence
In fact Buddha teach that the sensual desire is the main cause for creating dispute and violence.
Ref:
http://www.tipitaka.net/tipitaka/dhp/verseload.php?verse=129
http://blogs.dickinson.edu/buddhistethics/files/2010/12/Deegalle.pdf