Do you think business and management are social sciences?

I would argue that these clearly are social sciences.  The
reason for this is that social sciences are concerned with the relationships between
people and between people and their society.  Business and management are clearly
concerned with the relationships between people.

In these
areas of study, scholars need to understand how individuals interact with one another. 
In order to study management, for example, a scholar would need to study the ways in
which different management styles impact the people who are being supervised.  The
impact of the manager's actions on the managed is clearly an example of an issue that
that has to do with the relationships between people.  Because business and management
study issues like this, they can be considered social sciences.