I was watching a cop show the other day, and city police were at the scene of a one-victim crime. It was determined that the victim was a service member. The lead detective then muttered, "which means it's a military crime"
Which makes me wonder - Suppose Serviceman Bob is the victim of a murder off base, Further suppose that this is one of those cases that the military can investigate. Question is, can the military seize control over the investigation, or are they required to allow the local police to deal with the case as the local PD sees fit?