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Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations

6 votes
2 answers
507 views

generators for the handlebody group of genus two

Is the handlebody group of genus two surface generated by Dehn twists along properly embedded disks and annuli? Are there alternative ways to describe a set of generators that are conceptually simple …
Mehdi Yazdi's user avatar
5 votes
2 answers
521 views

Finiteness properties of mapping class groups

Question: Is it known if the mapping class groups (of surfaces of finite type) are similar to Gromov-hyperbolic groups in the following senses: 1) Does every finite generating set give us a finite p …
Mehdi Yazdi's user avatar