Document Type

Thesis

Publication Date

5-2017

Disciplines

Mathematics

Advisor

Bret Benesh, Mathematics

Abstract

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.

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