Why do you think men have dominated societies throughout most of history?

The obvious answer to that question is that men are physically stronger, therefore they have been able to take and keep political and intellectual control. But I wonder if there other factors that have also contributed, such as psychological factors. For example, I have often heard women say they are attracted to men who will "take charge" (at least at times, or in certain situations). Might women have at least some tendency to allow men to take leadership roles? And a disproportionate amount of violent crimes are committed by men, suggesting that men have greater tendencies towards aggressive behavior. What, if any, psychological factors or personality traits have led to history to play out as it has?