TY  - JOUR
AB  - In this paper we study the class [A] of all locally compact groups G with the property that for each closed subgroup H of G there exists a pair of homomorphisms into a compact group with H as coincidence set, and the class [D] of all locally compact group G with the property that finite dimensional unitary representations of subgroups of G can be extended to finite dimensional representations of G. It is shown that [MOORE]-groups (every irreducible unitary representation is finite dimensional) have these two properties. A solvable group in [D] is a [MOORE]-group. Moreover, we prove a structure theorem for Lie groups in the class [MOORE], and show that compactly generated Lie groups in [MOORE] have faithful finite dimensional unitary representations.
DA  - 1976
DO  - 10.1007/BF01473612
LA  - ger
IS  - 1
M2  - 15
PY  - 1976
SN  - 0026-9255
SP  - 15-40
T2  - Monatshefte für Mathematik
TI  - Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-17750512
Y2  - 2024-11-22T07:13:58
ER  -