As mentioned above, it varies widely depending a lot on the personalities of the individual animals involved. Of course there are extremes on both ends, the two examples that spring most prominently to mind being the hyper prolific, late great Radza of the Emmen Zoo, who refused to separate himself from the cows and lived with them essentially full-time for the last 10 years of his life; at on the flipside there are bulls like Bindu at Koln, who are generally unsocial, selective of who they will breed and socialize with, and can react adversely to the point where it is dangerous to house them with other animals outside of supervised sessions.
Of course most male elephants fall somewhere in the middle of these two extremes, but ultimately a trend that likely will be seen more prevalently in Europe as the population continues to grow and reach a gender equilibrium is, as mentioned, set ups where there is a mature breeding male who rotates between various social groupings, a matriarchal herd, and adolescent males who spend the majority of their time either in a group by themselves,housed with the breeding male, or very infrequently socializing with the cow group.