在几乎自由群体的Cayley图上

Groups Complex. Cryptol. Pub Date : 2009-11-11 DOI:10.1515/gcc.2011.012

Yago Antolín

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引用次数: 21

摘要

1985年，Dunwoody证明了有限可呈现群是可访问的。Dunwoody的结果被用来证明与上下文无关的群、与树拟等距的群或有限可呈现的渐近维数为1的群实际上是自由的。利用1979年Dunwoody的另一个定理，我们研究了一个群在Cayley图上实际上是自由的，并在此基础上得到了上述结果和先前其他结果的新证明。

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On Cayley graphs of virtually free groups

Abstract In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free. Using another theorem of Dunwoody of 1979, we study when a group is virtually free in terms of its Cayley graph, and we obtain new proofs of the mentioned results and others previously depending on these.

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Groups Complex. Cryptol.

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