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引用次数: 0
摘要
本文的目的是解决有限非贝尔群上的“ON MY TURF”博弈问题。1-)如果G是奇阶的，且集合F包含单位元，则第一个参与人A有一个获胜策略。如果F不包含身份，那么B有一个获胜的策略。2-)如果G具有偶数阶，只有一个2阶元素，则存在一个与集合F相关的制胜策略。3-)如果G具有偶数阶，只有三个2阶元素，并生成与Z2 × Z2同构的子群，则存在一个与集合F相关的制胜策略。
Analyzing on My Turf Game Over Some Finite Non-Abelian Groups
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.
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