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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On central topological groups
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by Siegfried Grosser and Martin Moskowitz PDF
Bull. Amer. Math. Soc. 72 (1966), 826-830
References
  • Jean Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. (9) 27 (1948), 1–85 (French). MR 25473
    • 1. P. Cartier, Séminaire S. Lie, 1954/55-1955/56.
  • 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
    • 4. R. Godement, Review of: F. I. Mautner, Infinite-dimensional irreducible representations of certain groups, Math. Rev. 12 (1951), 588.
  • 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
    • 8. E. van Kampen, Locally bicompact abelian groups and their character groups, Ann. of Math. 36 (1935).
  • 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
    • 12. M. Moskowitz, Locally compact abelian groups and homological algebra, Ph.D. Thesis, University of California, Berkeley, 1964.
  • 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
    • 16. L. Pontrjagin, Topological groups, Princeton Univ. Press, Princeton, N. J., 1939.
  • L. S. Pontrjagin, Topologische Gruppen. I, B. G. Teubner Verlagsgesellschaft, Leipzig, 1957 (German). MR 0086265
    • 18. P. Smith, On the fundamental group of a group manifold, Ann. of Math. 36 (1935), 19. A. Weil, L’intégration dans les groupes topologiques et ses applications, Hermann et Cie, Paris, 1953.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 72 (1966), 826-830
  • DOI: https://doi.org/10.1090/S0002-9904-1966-11575-6
  • MathSciNet review: 0194554