Inp-minimal groups

par Jan Dobrowolski (Leeds)

jeudi 19 oct. 2017, 10:30 → 11:30 Europe/Paris

Salle 112 (Bât Braconnier)

The class of inp-minimal structures contains many natural algebraic examples such as the fields of reals and of p-adic numbers, algebraically closed valued fields, and the Presburger arithmetic. Inp-minimality implies a very strong condition that all definable groups are comparable up to finite index. However, there is an example of an inp-minimal group which is not abelian-by-finite, given by Simonetta. We will discuss some problems about inp-minimal groups in some particular contexts, and some related issues.