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SUMMARY:Francesco Matucci (Università di Milano-Bicocca)
DTSTART:20201217T160000Z
DTEND:20201217T170000Z
DTSTAMP:20260423T021325Z
UID:GOThIC/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/11/">
 On Finitely Presented Groups that Contain $\\mathbb{Q}$</a>\nby Francesco 
 Matucci (Università di Milano-Bicocca) as part of GOThIC - Ischia Online 
 Group Theory Conference\n\n\nAbstract\nIt is a consequence of Higman's emb
 edding theorem that the additive group $\\mathbb{Q}$ of rational numbers c
 an be embedded into a finitely presented group. Though Higman's proof is c
 onstructive\, the resulting group presentation would be very large and unp
 leasant. In 1999\, Martin Bridson and Pierre de la Harpe asked for an expl
 icit and "natural" example of a finitely presented group that contains an 
 embedded copy of $\\mathbb{Q}$. In this talk\, we describe some solutions 
 to the Bridson - de la Harpe problem related to Richard Thompson's groups 
 F\, T\, and V. Moreover\, we prove that there exists a group containing $\
 \mathbb{Q}$ which is simple and has type F infinity. This is joint work wi
 th Jim Belk and James Hyde.\n
LOCATION:https://researchseminars.org/talk/GOThIC/11/
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