Alexander Gennadjewitsch Kurosch

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Aleksandr Gennadievich Kurosh ( Russian Александр Геннадьевич Курош ; born January 6 . Jul / 19th January  1908 greg. In Jarzewo ; † 18th May 1971 in Moscow ) was a Soviet mathematician who deals with algebra and especially with group theory employed.

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Alexander Gennadjewitsch Kurosch came from a poor background. At the age of 15 he went to Moscow and passed the entrance exams for the textile industry with very good grades, but was considered too young. He went back to his hometown to work as an accountant and attend evening classes on the side. In 1924 he began his studies at the University of Smolensk , where he heard lectures from Pavel Alexandrov , who promoted him. He was particularly impressed by Emmy Noether's lectures , which he heard in Moscow in 1928. He continued his studies at the Lomonosov University a . a. continued with O. Schmidt and increasingly shifted his interests from topology to group theory. In 1932 he became a lecturer there and in 1937 a professor, after receiving his doctorate from Pavel Alexandrov in 1936 with studies on infinite groups (Russian doctor, equivalent to the habilitation in the West). From 1949 until his death in 1971 he held the chair for higher algebra at Lomonosov University. But he also taught at other Moscow universities.

Inspired by the work of Otto Schreier , Kurosch began to work on free products of groups in 1932, and proved his theorem on subgroups ( Kurosch's subgroup set ) in a paper in the Mathematische Annalen . Kurosch was also known for one of the first modern textbooks on group theory, which he completed in 1940 and which appeared in 1944 (in the second, completely revised edition in 1952). Kurosch also worked in other areas of algebra such as ring theory and category theory (on which he organized a seminar in Moscow in the late 1950s) and published another textbook, Lectures on General Algebra , in 1960 . One of the classic theorems of association theory , the so-called Kurosch-Ore theorem, is also associated with his name .

Kurosch had been on the Council of the Moscow Mathematical Society since 1933 and was temporarily its vice-president. In 1970 he was elected a member of the Leopoldina .

His wife Soja Kischkina was also a mathematician.

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