Is it true that if one had been the victim of ...

No, and as example:  fraternity hazings and military training.

This is a complex question with many facets. the short version would be:

If the previous violence has been dealt with and is "understood" 

by the person then they are much less likely to inflict violence. If, they have 

not dealt with the violence that occured in their past, they are more likely to

behave violently towards another. this could manifest itself as a "carbon copy" 

of the violence that they have incurred, or it could be some other negative act. 

The whole thing is made complex by the fact that everyone reacts differently to stimuli. if violence is all that they have experienced, but they know that this is not normal, then it is possible that they will not cause similar harm.

If violence is all that they have known and they believe that this is normal behaviour, then trouble is more likely to occur. Similarly, if they are convinced (through action and/or words from their aggressor) then this may lead to problems at some other point. this would be a manifestation of guilt/shame/anger/impotence etc. or a combination of such feelings with the added bonus of  an element of transference.

Hope that this helps a little.

Be Well. 

Not true at all.

If say you were dating or married to a man who committed physical violence on you, then you got out of that relationship and he dated/married someone else, he would not necessarily be physically violent towards her, because of the different aspects of her personality and what she may have brought into the relationship (children, etc).  Howerver, he may turn his aggression onto others (his children, parents, etc).  It also depends on if he has a personality or mood disorder.  Most likely, if he was raised in a physically violent home, he himself will be physically violent.

I don't know of any credible research to support this view. In general, males exposed to violence either to themselves or observing violence against others become more violent. They also increase their tolerance for violence in others. The observed violence can be real or simulated.