Logic Puzzle

A new logic puzzle will be posted at the beginning of each month

During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try and identify who stole Mrs Archer's cake from the mid-summers fayre. Below is a summary of their statements:

Arnold:  it wasn't Edward
            it was Brian

Brian:   it wasn't Charlie
           it wasn't Edward

Charlie: it was Edward
            it wasn't Arnold

Derek:   it was Charlie
            it was Brian

Edward:  it was Derek
             it wasn't Arnold 

It was well known that each suspect told exactly one lie. Can you determine who stole the cake?