April 21, 2006 Introduction to Compact Groups Our website is "http://www.mathematik.tu-darmstadt.de/ lehrmaterial/SS2006/CompGroups/" A compact group is a compact T

Until the definition of scale function in such groups given by George Willis, almost the only structure known was a theorem of van Dantzig, namely that a locally compact

In Section 2.4 we briefly discuss Haar measure on a locally compact group G and how it leads to faithful continuous unitary representations of G.. 2.1 Measures and L

There is a level (1) consisting of abstract group theory which is particularly interesting for finite groups because the finiteness assumption is a powerful tool in the structure

For every compact abelian group G there is a filter basis N of compact subgroups such that G is the strict projective limit lim N∈N G/N of factor groups each of which is a

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All rational vector group are divisible, all Pr¨ ufer groups are divisible.. Quotients of divisible groups

We discussed projective limits of projective systems of compact groups.. The important