Heinz Prüfer's publications

Today Prüfer's name is well-known by mathematicians yet he died at the age of 37 and he published only 9 papers and one book. We should note that several of the papers are long, being around 40 pages. One of the papers is in two parts. In addition he published solutions to two problems posed by George Pólya. The book, Projective Geometry (1935), was edited by G Fleddermann and G Köthe based on Prüfer's lecture notes at Münster University. With later editions of the book, this means that in total we are able to list 15 publications by Prüfer. We have added an English translation of the titles:


  1. Neuer Beweis eines Satzes über Permutationen (New proof of a theorem on permutations) (1918).
    Arch d. Math. u. Phys. (3) 27 (1918), 142-144

  2. Lösung zu 537 (Bd. 25, 337, G Pólya) (Solution to 537) (1918).
    Arch d. Math. u. Phys. (3) 27 (1918), 92-94.

  3. Lösung zu 535 (25, 337, G Pólya) (Solution to 535) (1920).
    Arch d. Math. u. Phys. (3) 28 (1919-20), 177-179.

  4. Unendliche Abelsche Gruppen von Elementen endlicher Ordnung (Infinite abelian groups of elements of finite order) (1921).
    Dissertation (Faculty of Arts, University of Berlin, 1921).

  5. Untersuchungen über die Zerlegbarkeit der abzählbaren primären Abelschen Gruppen (Studies on the decomposability of countable primary abelian groups) (1923).
    Math. Z. 17 (1) (1923), 35-61.

  6. Theorie der Abelschen Gruppen 1: Grundeigenschaften (Theory of Abelian Groups, Part 1: Basic properties) (1924).
    Math. Z. 20 (1) (1924), 165-187.

  7. Theorie der Abelschen Gruppen 2: Ideale Gruppen (Theory of Abelian Groups, Part 2: Ideal groups) (1925).
    Math. Z. 22 (1) (1925), 222-249.

  8. Zur Begründung der algebraischen Zahlentheorie (On the foundations of algebraic number theory) (1925).
    Jahresber. Deutsch. Math.-Verein. 33 (1925), 102.

  9. Neue Begründung der algebraischen Zahlentheorie (New foundations of algebraic number theory) (1925).
    Math. Ann. 94 (1) (1925), 198-243.

  10. Neue Herleitung der Sturm-Liouvilleschen Reihenentwicklung stetiger Funktionen (New derivation of the storm-Liouville series expansion of continuous functions) (1926).
    Math. Ann. 95 (1) (1926), 499-518.

  11. Untersuchungen über Teilbarkeitseigenschaften in Körpern (studies on divisibility in fields) (1932).
    J. Reine Angew. Math. 168 (1932), 1-36.

  12. Knotentheorie (Knot theory) (1933).
    Semesterberichte Bonn u. Münster 3 (1933), 42-82.

  13. Projektive Geometrie (Projective Geometry) (1935).
    (R Noske, Leipzig, 1935).

  14. Projektive Geometrie (Projective Geometry) (1939).
    (Akademische Verlagsgesellschaft m.b.H., Leipzig, 1939).

  15. Projektive Geometrie (2nd ed.) (Projective Geometry) (1953).
    (Akademische Verlagsgesellschaft, Geest und Portig K.-G., Leipzig, 1953).

JOC/EFR January 2015

The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Extras/Prufer_publications.html