Aleksandr Gennadievich Kurosh
Alexander Gennadyevich Kurosh 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.
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 1937 he became a professor there, and from 1949 until his death he held the Chair of Higher Algebra at Moscow State University. 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. In all, he had 27 PhD students, including also Vladimir Andrunakievich, Mark Graev, and Anatoly Shirshov.Selected publications
- Teoriya Grupp, 2 vols., Nauk, 1944, 2nd edition 1953.
- * German translation: Gruppentheorie. 2 vols., 1953, 1956, Akademie Verlag, Berlin, 2nd edition 1970, 1972.
- * English translation: The Theory of Groups, 2 vols., Chelsea Publishing Company, the Bronx, tr. by K. A. Hirsch, 1950, 2nd edition 1955.
- Vorlesungen über Allgemeine Algebra. Verlag Harri Deutsch, Zürich 1964.
- Zur Theorie der Kategorien. Deutscher Verlag der Wissenschaften, Berlin 1963.
- Kurosch: Mathematische Annalen vol. 106, 1932.
- Kurosch: Mathematische Annalen vol. 108, 1933.
- Kurosch: Mathematische Annalen, vol. 109, 1934.
- A. G. Kurosh, S. N. Chernikov, “Solvable and nilpotent groups”, Uspekhi Mat. Nauk, 2:3, 18–59.
- A. G. Kurosh, "Curso de Álgebra Superior", Editorial Mir, Moscú 1997, traducción de Emiliano Aparicio Bernardo
