Bret Benesh, Mathematics
The three-player game of GEN involves taking turns selecting elements of a group to add to a common pool of elements. Each element can only be selected once, and all players share the pool of elements. The object of the game is to be the player that adds the final element to the pool that will generate the entire group. We will identify and develop the strategies players must follow in order to win the game when playing with cyclic groups, dihedral groups, and nilpotent groups.
Blomquist, Jon, "Three-Player GEN on Groups" (2017). All College Thesis Program, 2016-2019. 43.