Volume 1 • Issue 1 • PP: 08-11 • 2022
Analyzing on My Turf Game Over Some Finite Non-Abelian Groups
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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The aim of this paper is to solve the “ON MY TURF" game over some finite nonabelian groups. Also, it presents the following results:
1-) If G has odd order, and the set F contains the identity element, then the first player A has a winning strategy. If F does not contain the identity, then B has a winning strategy.
2-) If G has an even order with only one element of order two, there is a winning strategy related to set F.
3-) If G has an even order with only three elements of order two which generate a subgroup isomorphic to Z2 × Z2, there is a winning strategy related to the set F.
Keywords
References
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