Novikov is known for his work on combinatorial problems in group theory: the word problem for groups, and Burnside's problem. For proving the undecidability of the word problem in groups he was awarded the Lenin Prize in 1957.
In 1953 he became a corresponding member of the USSR Academy of Sciences and in 1960 he was elected a full member.
- S. I. Adian, Mathematical logic, the theory of algorithms and the theory of sets, AMS Bookstore, 1977, ISBN 0-8218-3033-3, p. 26.
- O'Connor, John J.; Robertson, Edmund F., "Pyotr Novikov", MacTutor History of Mathematics archive, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
- Pyotr Novikov at the Mathematics Genealogy Project
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