Pyotr Sergeyevich Novikov (russian: Пётр Серге́евич Но́виков; 15 August 1901,

Moscow Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...

Russian Empire The Russian Empire was an empire and the final period of the List of Russian monarchs, Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended th ...

– 9 January 1975, Moscow,

Soviet Union The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, ...

) was a

Soviet The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

. Novikov is known for his work on combinatorial problems in

group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...

: the word problem for groups, and

Burnside's problem The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William Burnside in 1902, making it one of the oldest questions in group theory and was inf ...

. For proving the undecidability of the word problem in groups he was awarded the Lenin Prize in 1957.S. I. Adian, ''Mathematical logic, the theory of algorithms and the theory of sets'', AMS Bookstore, 1977, , p. 26. (being Novikov's Festschrift on the occasion of his seventieth birthday) In 1953 he became a corresponding member of the

USSR Academy of Sciences The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 ...

and in 1960 he was elected a full member. He was married to the mathematician Lyudmila Keldysh (1904–1976). The mathematician Sergei Novikov is his son. Sergei Adian and Albert Muchnik were among his students.

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* * 1901 births 1975 deaths Soviet mathematicians 20th-century Russian mathematicians Moscow State University alumni Soviet logicians Group theorists Full Members of the USSR Academy of Sciences D. Mendeleev University of Chemical Technology of Russia faculty {{Russia-mathematician-stub

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