School of Mathematics and Statistics
Gundel Klaas
University of Aachen
Linear propgroups of finite width and their Lie algebras
Friday 4th December 121pm, Carslaw 273.
An infinite propgroup allows simultaneous analysis of certain
properties of infinitely many finite pgroups.
In a similar way to complex Lie groups, padic analytic propgroups
are associated to Lie algebras via explog. 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 propgroups over
GF(p)[[t]].
Lie algebras can also be used to recognize the corresponding groups.
