W. Herfort, F. Russo, K.H. Hofmann:

"Locally Compact Near Abelian Groups";

in: "ASC Report 04/2014", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2014, ISBN: 978-3-902627-07-0, 1 - 34.

A locally compact group G is near abelian if it contains

a closed abelian normal subgroup A such that every closed

topologically nitely generated subgroup of G=A is inductively

monothetic and every closed subgroup of A is normal in G. Recent

studies prove that projective limits of nite p-groups (p prime)

are exactly those compact p-groups in which two closed subgroups

commute (that is, are \quasihamiltonian" or \M-groups"). Such

results are extended to locally compact near abelian groups and

their structure is studied. This requires a review of the structure

of locally compact periodic groups and thus of their automorphisms

which leave all closed subgroups invariant. The new de nition of

locally compact near abelian groups necessitates to introuduce inductively monothetic locally compact groups. Their structure is

completely classi ed. The global structure of locally compact near

abelian groups is discussed. At the end of the paper we classify

locally compact quasihamiltonian groups.

Locally Compact Near Abelian Groups"

http://www.asc.tuwien.ac.at/preprint/2014/asc04x2014.pdf

Created from the Publication Database of the Vienna University of Technology.