TBA
In the 1960's Richard Thompson defi ned three groups nowadays denoted by T, F, and V that have remarkable properties, e.g. they are finitely presented but have unsolvable word problem, T and V are simple, F has property FP∞ and is torsion-free. All three groups, as well as numerous generalisations, are still subject to much research. Our plan is to follow the Introductory Notes on Richard Thompson's Groups [1] by Cannon, Floyd, and Parry, and afterwards to look at a selection of more recent results.
Open Topic
Word Growth in Groups
Bass-Serre Theory and Profinite Analogues
p-Adic analytic pro-p groups
Invariant random subgroups
Probabilistic methods in group theory
Buildings