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math.GT2009
Semisimple actions of mapping class groups on CAT(0) spaces
Martin R Bridson
Let S be an orientable surface of finite type and let Mod(S) be its mapping class group. We consider actions of Mod(S) by semisimple isometries on complete CAT(0) spaces. If the ge…
math.GR2009★ 7 cited
A condition that prevents groups from acting nontrivially on trees
Martin R Bridson
We describe a simple criterion for showing that a group has Serre's property FA. By exhibiting a certain pattern of finite subgroups, we show that this criterion is satisfied by Au…