There were 4 original Native American Tribe in the state of Wyoming, starting with; The Arapaho tribe, Cheyenne, Crow, and Shoshone. Today the only 2 federally recognized tribes in Wyoming are the Arapaho and Shoshone Tribes. They both share a single Indian Reservation, called Wind River Reservation.
Cheyenne being the most important city in Wyoming is a matter of opinion. Cheyenne is an important city in Wyoming because it is the state capital. Cheyenne is also the largest city in Wyoming. There is a U.S. Air Force base, the F.E. Warren Air Force Base, located near Cheyenne. Cheyenne hosts the Cheyenne Frontier Days each July.
Cheyenne, Wyoming is the capital of the US state of Wyoming, so Cheyenne has a state government and a city government. Cheyenne is also the county seat of Laramie County, Wyoming, so it has a county government. Cheyenne, Wyoming has a Democratic type of government, meaning the people have a say in the decisions which affect their lives.