University of Sydney
School of Mathematics and Statistics
University of Aachen
Linear pro-p-groups of finite width and their Lie algebras
Friday 4th December 12-1pm, Carslaw 273.
An infinite pro-p-group allows simultaneous analysis of certain
properties of infinitely many finite p-groups.
In a similar way to complex Lie groups, p-adic analytic pro-p-groups
are associated to Lie algebras via exp-log. Also the Cayley map
provides a tool to connect the groups with Lie algebras. This map gives
a correspondence between the lower central series of the group and the
lower central series of the Lie order. The advantage of this technique
is that it extends also to linear pro-p-groups over
Lie algebras can also be used to recognize the corresponding groups.