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arxiv: 0810.1365 · v1 · submitted 2008-10-08 · 🧮 math.GT · math.GR· math.OA

On the behaviour of the Atiyah Conjecture under taking subgroups and under taking quotients with finite kernel

classification 🧮 math.GT math.GRmath.OA
keywords atiyahconjectureunderfinitekernelstrongsubgroupstaking
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We state and prove a condition under which the strong Atiyah Conjecture carries over to subgroups. Moreover, we show that if a group satisfies the (strong) Atiyah Conjecture then any quotient with finite kernel does.

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