On central topological groups

Grosser, Siegfried; Moskowitz, Martin

doi:10.1090/S0002-9947-1967-0209394-9

On central topological groups
HTML articles powered by AMS MathViewer

by Siegfried Grosser and Martin Moskowitz PDF

Trans. Amer. Math. Soc. 127 (1967), 317-340 Request permission

References

V. M. Gluškov, The structure of locally compact groups and Hilbert’s fifth problem. , Amer. Math. Soc. Transl. (2) 15 (1960), 55–93. MR 0114872, DOI 10.1090/trans2/015/04
Roger Godement, Analyse harmonique dans les groupes centraux. I. Fonctions centrales et caractères, C. R. Acad. Sci. Paris 225 (1947), 19–21 (French). MR 21000
F. I. Mautner, Infinite-dimensional irreducible representations of certain groups, Proc. Amer. Math. Soc. 1 (1950), 582–584. MR 39728, DOI 10.1090/S0002-9939-1950-0039728-2
G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
K. H. Hofmann and Paul Mostert, Splitting in topological groups, Mem. Amer. Math. Soc. 43 (1963), 75. MR 151544
Kenkichi Iwasawa, Topological groups with invariant compact neighborhoods of the identity, Ann. of Math. (2) 54 (1951), 345–348. MR 43106, DOI 10.2307/1969536
E. R. van Kampen, Locally bicompact abelian groups and their character groups, Ann. of Math. (2) 36 (1935), no. 2, 448–463. MR 1503234, DOI 10.2307/1968582
John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
A. Malcev, On the simple connectedness of invariant subgroups of Lie groups, C. R. (Doklady) Acad. Sci. URSS (N.S.) 34 (1942), 10–13. MR 0007424
Deane Montgomery and Leo Zippin, Topological transformation groups, Interscience Publishers, New York-London, 1955. MR 0073104
Martin Moskowitz, Homological algebra in locally compact abelian groups, Trans. Amer. Math. Soc. 127 (1967), 361–404. MR 215016, DOI 10.1090/S0002-9947-1967-0215016-3
G. D. Mostow, On an assertion of Weil, Ann. of Math. (2) 54 (1951), 339–344. MR 43105, DOI 10.2307/1969535
B. H. Neumann, Groups with finite classes of conjugate elements, Proc. London Math. Soc. (3) 1 (1951), 178–187. MR 43779, DOI 10.1112/plms/s3-1.1.178
B. H. Neumann, Groups with finite classes of conjugate subgroups, Math. Z. 63 (1955), 76–96. MR 72137, DOI 10.1007/BF01187925

Topological groups

Topologische Gruppen

P. A. Smith, The fundamental group of a group manifold, Ann. of Math. (2) 36 (1935), no. 1, 210–229. MR 1503220, DOI 10.2307/1968676

L’intégration dans les groupes topologiques et ses applications