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Aleksandr Gennadievich Kurosh

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Name
  
Aleksandr Kurosh

Role
  
Mathematician


Aleksandr Gennadievich Kurosh halgebramathmsusuKuroshKuroshjpg

Died
  
May 18, 1971, Moscow, Russia

Books
  
Higher Algebra, The theory of groups, Lectures on general algebra, Algebraic Equations of Arbitrary Degrees

May 18 johann jakob froberger big joe turner aleksandr gennadievich kurosh


Alexander Gennadyevich Kurosh (Russian: Алекса́ндр Генна́диевич Ку́рош; January 19, 1908 – May 18, 1971) was a Soviet mathematician, known for his work in abstract algebra. He is credited with writing the first modern and high-level text on group theory, his The Theory of Groups published in 1944.

Contents

He was born in Yartsevo near Smolensk, and died in Moscow. He received his doctorate from the Moscow State University in 1936 under the direction of Pavel Alexandrov. In 1938, he was the PhD thesis adviser to fellow group theory pioneer Sergei Chernikov, with whom he would develop important relationships between finite and infinite groups, discover the Kurosh-Chernikov class of groups, and publish several influential papers over the next decades.

  • He published in Spanish "Curso de Álgebra Superior"
  • Selected publications

  • Gruppentheorie. 2 vols., 1953, 1956, Akademie Verlag, Berlin, 2nd edition 1970, 1972.
  • Vorlesungen über Allgemeine Algebra. Verlag Harri Deutsch, Zürich 1964.
  • Zur Theorie der Kategorien. Deutscher Verlag der Wissenschaften, Berlin 1963.
  • Kurosch: Zur Zerlegung unendlicher Gruppen. Mathematische Annalen vol. 106, 1932.
  • Kurosch: Über freie Produkte von Gruppen. Mathematische Annalen vol. 108, 1933.
  • Kurosch: Die Unterprodukte der freien Produkte von beliebigen Gruppen. Mathematische Annalen, vol. 109, 1934.
  • A. G. Kurosh, S. N. Chernikov, “Solvable and nilpotent groups”, Uspekhi Mat. Nauk, 2:3(19) (1947), 18–59.
  • References

    Aleksandr Gennadievich Kurosh Wikipedia