A note on finiteness properties of graphs of groups

Proceedings of the American Mathematical Society, Series B Pub Date : 2021-03-23 DOI:10.1090/BPROC/81

Frédéric Haglund, D. Wise

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引用次数: 0

Abstract

We show that if G G is of type F n \mathcal {F}_n , and G G splits as a finite graph of groups, then the vertex groups are of type F n \mathcal {F}_n if the edge groups are of type F n \mathcal {F}_n .