![]() |
COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. | ![]() |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Free-by-cyclic groups, profinite rigidity and deficiency
![]() Free-by-cyclic groups, profinite rigidity and deficiencyAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. NPCW06 - Non-positive curvature and applications It is unknown whether free-by-cyclic groups can always be distinguished from one another by their finite quotients, i.e. whether they are always profinitely rigid within the class of free-by-cyclic groups. After surveying the context of this question, I will describe joint work with Pawel Piwek in which we show that all free-by-cyclic groups with centre are profinitely rigid in this sense. I shall also explain why groups of this form resolve the old question of whether one can simultaneously minimise the rank (number of generators) and deficiency of a finitely presented group. A key idea in the proofs is that instead of approaching these groups as mapping tori, one should view them as the fundamental groups of a certain type of non-positively 2-complex. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
Note that ex-directory lists are not shown. |
Other listsCambridge University United Nations Association Legal Histories beyond the State Partial Differential Equations seminarOther talksOn Bayesian Quadrature Estimators Informal to formal and back with LLMs Temporal Dynamics of Island Biodiversity Kirk Public Lecture: Title TBC Informal discussion Scoring rules and their approximations on manifolds |