Thirty-Third Annual Victorian Algebra Conference, Sydney, Australia, 2015

Register for: VAC33

Details of talk

TitleEndomorphisms of totally disconnected, lcoally compact groups
PresenterGeorge Willis (The University of Newcastle)
Author(s)Prof George Willis
Sessionn/a
Time
Abstract


Totally disconnected, locally compact groups are found in many different
contexts: as Lie groups over fields of $p$-adic numbers; as automorphism groups
of locally finite graphs; and all profinite groups are compact and totally
disconnected. Understanding such groups in general is also an important part of
the theory of locally compact groups. 

The talk describes an approach to studying these groups through their
endomorphisms. Although totally disconnected, locally compact groups do not have
a Lie algebra in general, invariants associated with each endomorphism have
similarities with the eigenvalues and canonical form associated with a linear
transformation