STaRS: Brandon Mather (UNT undergraduate), Erin Raign and Julie Thompson (UNT graduate) | Department of Mathematics

STaRS: Brandon Mather (UNT undergraduate), Erin Raign and Julie Thompson (UNT graduate)

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, October 1, 2021 - 2:00pm

Mentor: Dr. Logan Crone (UNT Alumni)

Title: A Game Considered on Dn

Abstract: We introduced a game played on a finite group with moves from the conjugacy classes. We consider this game on the dihedral group and determine the outcome of this game. This could provide information about the dihedral group, or potentially other finite groups. We found this game breaks into cases: when n is odd, both players can force a draw; when n ≡ 2 mod 4, Player 1 wins, and when n ≡ 0 mod 4, we conjecture Player 1 and Player 2 win alternating based on n mod 8.

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