Alexei Ivanovich Kostrikin

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

Kostrikin came from a farming family, attended the Saratov State University from 1947 and, due to his outstanding achievements, from 1951 the Lomonossow University , where he graduated in 1952. He became a student of Igor Schafarewitsch , with whom he received his doctorate in 1956 at the Steklov Institute ( candidate of sciences ). He stayed at the Steklow Institute and also became a professor at Lomonosov University in 1963 in the Department of Higher Algebra, which he headed from 1977 to 2000.

He wrote several well-known algebra textbooks and dealt with the constrained Burnside problem in the 1950s , where he made a mathematical breakthrough and a partial solution for prime exponents. It was completely solved in 1989 by Efim Zelmanov . In the 1960s he studied Lie algebras on bodies of finite characteristics and formulated conjectures here with Schafarewitsch.

In 1968 he received the State Prize of the USSR and in 1997 the Lomonosov Prize. 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 Nice in 1970 ( Variations modulaires sur un thème de Cartan ).

Alexei Bondal is one of his PhD students .

Fonts

  • Around Burnside , Springer Verlag 1990
  • with Pham Huu Tiep 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

Web links

personal data
SURNAME Kostrikin, Alexei Ivanovich
ALTERNATIVE NAMES Кострикин, Алексей Иванович
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH February 12, 1929
PLACE OF BIRTH Bolshoi Morez
DATE OF DEATH September 22, 2000
Place of death Moscow