Alexei Kostrikin

Alexei Ivanovich Kostrikin (Russian Алексей Иванович Кострикин; born February 12, 1929 in Bolshoi Morez, Volgograd Oblast, † 22 September 2000 in Moscow) was a Russian mathematician who dealt with algebra.

Kostrikin came from a farming family, visited in 1947, the Saratov State University and in 1951 because of its outstanding performance, the Moscow State University, where he graduated in 1952. He became a student of Igor Shafarevich, where he was in 1956 his doctorate at the Steklov Institute (Candidate of Sciences). He stopped at the Steklov Institute and also in 1963 a professor at the Moscow State University in the Department of Higher Algebra, which he headed from 1977 to 2000.

He wrote several well-known algebra textbooks and addressed in the 1950s with the restricted Burnside problem, where he achieved a mathematical breakthrough and a partial solution for prime exponent. Fully solved it was founded in 1989 by Efim Zelmanov. In the 1960s he studied Lie algebras over fields of finite characteristic and formulated conjectures here with Shafarevich.

In 1968 he was awarded the State Prize of the USSR in 1997 and the Lomonosov price. In 1976 he became a corresponding member of the Soviet Academy of Sciences. He was invited speaker at the International Congress of Mathematicians in Stockholm in 1962 (Lie algebras and finite groups, Russian) and in 1970 in Nice ( Variations sur un thème de aires module Cartan ).

His doctoral Alexei Bondal heard.

Writings

  • Around Burnside, Springer Verlag 1990
  • Pham Huu Tiep with Orthogonal Decompositions and Integral Lattices, de Gruyter 1994
  • With Yuri Manin linear algebra and geometry, Gordon and Breach 1989
  • Introduction to Algebra, Springer Verlag, 1982 ( Russian original 1977)
  • Exercises in algebra: a collection of exercises in algebra, linear algebra and geometry, Gordon and Breach 1996
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