Adjan, S. I. The Burnside problem and identities in groups. Translated from the Russian by John Lennox and James Wiegold. (English) Zbl 0417.20001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 95. Berlin-Heidelberg-New York: Springer-Verlag. X, 311 p. DM 78.00; $ 39.00 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 ReviewsCited in 16 Documents MSC: 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20F50 Periodic groups; locally finite groups 20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) 20F05 Generators, relations, and presentations of groups 20E15 Chains and lattices of subgroups, subnormal subgroups Keywords:burnside problem; identities in groups; transformations of periodic words in a group alphabet; two generator infinite groups of finite exponent; non-commutative torsion-free group; subgroups intersect non-trivially; finitely generated groups of small exponents PDF BibTeX XML OpenURL