“School of Mathematics”
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| Paper IPM / M / 8556 | ||||||||||||||||||||
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Let G be an infinite group and n ∈ {2,3}. It is proved
that xn = 1 for all x ∈ G if and only if 1G ∈ Xn
for all infinite subsets X of G, where Xn:={x1,x2...xn|xi ∈ X}.
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