TY - JOUR
T1 - Maximal compact normal subgroups
AU - Peyrovian, M. R.
PY - 1987/2
Y1 - 1987/2
N2 - The main concern is the existence of a maximal compact normal subgroup K in a locally compact group G, and whether or not G/K is a Lie group. G has a maximal compact subgroup if and only if G/G0 has. Maximal compact subgroups of totally disconnected groups are open. If the bounded part of G is compactly generated, then G has a maximal compact normal subgroup K and if B(G) is open, then G/K is Lie. Generalized FCgroups, compactly generated type I IN-groups, and Moore groups share the same properties.
AB - The main concern is the existence of a maximal compact normal subgroup K in a locally compact group G, and whether or not G/K is a Lie group. G has a maximal compact subgroup if and only if G/G0 has. Maximal compact subgroups of totally disconnected groups are open. If the bounded part of G is compactly generated, then G has a maximal compact normal subgroup K and if B(G) is open, then G/K is Lie. Generalized FCgroups, compactly generated type I IN-groups, and Moore groups share the same properties.
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U2 - 10.1090/S0002-9939-1987-0870807-9
DO - 10.1090/S0002-9939-1987-0870807-9
M3 - Article
AN - SCOPUS:84968497840
SN - 0002-9939
VL - 99
SP - 389
EP - 394
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -