I would like to add to PikeWake's writeup that the "vikings" (when not plundering and pillaging) were also great explorers and settlers. Iceland and Greenland were settled by early Norwegians, as well as the Hebrides, Orkneys and Faeroes. Leiv Eriksson even has a thorough description of the Labrador coast; the land he called Vinland (indeed, a viking settlement has been found in L'Anse aux Meadows in Newfoundland).

The influence on England was not only as invaders, but a great deal in trade and settlements. York is for example an old "viking" settlement.

Oh, and no viking ever had a horned helmet, that's a celtic thing... :)