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Amitsur Algebra: Gili Golan, "The generation problem in Thompson group F" | Einstein Institute of Mathematics

Amitsur Algebra: Gili Golan, "The generation problem in Thompson group F"

Date: 
Thu, 16/06/201612:00-13:15
Location: 
Manchester Building (room 209), Jerusalem, Israel
We show that the generation problem in Thompson group F is decidable, i.e., there is an algorithm which decides if a finite set of elements of F generates the whole F. The algorithm makes use of the Stallings 2-core of subgroups of F, which can be defined in an analogue way to the Stallings core of subgroups of a free group. An application of the algorithm shows that F is a cyclic extension of a group K which has a maximal elementary amenable subgroup B. The group B is a copy of a subgroup of F constructed by Brin.