Bullrushes?

I cut these grassy plants from our little pond as they are so beautiful. But what are they? (Sorry, it would be nice to have one of those cameras that don't give a blurred image when you shake the camera at the moment of clicking the shutter.). We always called these rushes/sedges, "Bullrushes" - but now I think that's not right. I shall have another look in by book. They have lovely brown furry fat pipecleaners for flowers and a spindly bit at the top where their seeds were.