Person: Novikov, Petr Sergeevich
Petr Sergeevich Novikov is a Russian mathematician known for his work on combinatorial problems in group theory including the word problem for groups and the Burnside problem.
Mathematical Profile (Excerpt):
 However, even before Novikov entered university, the Russian nation had been plunged into civil war.
 In the spring of 1920, with the civil war still raging, Novikov joined the Red Army.
 Novikov graduated in 1929 and then taught at the Moscow Chemical Technology Institute until he joined the Department of Real Function Theory at the Steklov Institute in 1934.
 Novikov headed the Department of Analysis at Moscow State Teachers Training Institute from 1944.
 In 1957 Novikov set up a new department at the Steklov Institute, namely the Department of Mathematical Logic, and he was appointed as the first head of that department.
 Novikov showed, in 1952, that the word problem for groups is insoluble.
 The problem was first posed by Dehn in 1912 and Novikov was able to show that no such algorithm exists in general.
 Novikov was awarded the Lenin Prize in 1957 for this outstanding piece of work.
 Boone published another proof of this result in 1957, the same year that Novikov received his prize.
 The word problem was not the only problem of major importance in combinatorial group theory which Novikov solved.
 Although in 1959 Novikov announced that for every n>71n > 71n>71 there exists a finitely generated infinite group with every element of order dividing nnn, his proof was not quite correct.
 Novikov's argument of 1959 was correct in general terms but the details were not, and in putting the arguments right it was found that one required larger values of nnn.
 In 1968 Novikov and Adian jointly published a proof B(d,n)B(d, n)B(d,n) is infinite for every d>1d > 1d>1 and every n>4380n > 4380n>4380.
Born 15 August 1901, Moscow, Russia. Died 9 January 1975, Moscow, Russia.
View full biography at MacTutor
Tags relevant for this person:
Algebra, Group Theory, Origin Russia, Puzzles And Problems
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References
Adapted from other CC BYSA 4.0 Sources:
 Oâ€™Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive