Profinite and RFRS groups

The profinite completion of a discrete group encapsulates the information of all finite quotients of the group. Residually finite rationally solvable (RFRS) groups were introduced by Ian Agol in his work on fibring of 3-manifolds and include all subgroups of right-angled Artin groups. This project investigates profinite aspects of RFRS groups with the goal showing that, with sufficient homological finiteness assumptions, RFRS groups are good in the sense of Serre, that is, the inclusion into the profinite completion induces isomorphism on cohomology with finite coefficients.


    Team Members

    Dr. Giles Gardam
    Project leader
    Universität Münster

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