Howson's property for semidirect products of semilattices by groups
 
 
Description: 

Howson's Theorem (1954), a classical result in group theory, established that the intersection of two finitely generated subgroups of a free group always yields a finitely generated subgroup. Jones and Trotter (1989) showed that is not the case for any free inverse semigroup with more than one generator. In this work, we considered this problem for the important class of inverse semigroups which are semidirect products of semilattices by groups and showed that, for a group G acting on a semilattice E by means of a locally finite action, the semidirect product E ∗ G satisfies the Howson property (with respect to inverse subsemigrups) if and only if so does G (with respect to subgroups) and that the equivalence fails for arbitrary actions.

This is joint work with Pedro V. Silva (CMUP/University of Porto).

Date:  2016-02-01
Start Time:   15:30
Speaker:  Filipa Soares de Almeida (CEMAT and ISEL, Lisboa)
Institution:  CEMAT and ISEL, Lisboa
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
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