Monthly Archives: July 2011

Farewell (and what did we miss?)

“I believe in everything until it’s disproved. So I believe in fairies, the myths, dragons.” — John Lennon Our tour of subgroups of non–positively curved groups has reached its end. What did we miss? Probably lots — apologies to any … Continue reading

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Cannon-Thurston maps for graphs of groups

Recall from our last post that given an infinite hyperbolic subgroup of a hyperbolic group , the extension of the inclusion to a continuous is called a Cannon-Thurston map. By the continuity of , if such a map exists it’s … Continue reading

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Boundaries of Hyperbolic Groups

In this post and the next, we will discuss Cannon-Thurston maps: (continuous) extensions of inclusions of hyperbolic groups to the boundaries . It is not evident that such maps should exist when is distorted in , but they often do … Continue reading

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