Geodesic
Questions in algebra and mathematical logic. Scientific heritage of S.\,I.~Adian
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 1, pp. 1-27

Voir la notice de l'article provenant de la source Math-Net.Ru

This is a survey of results on the Burnside problem and properties of Burnside groups, the finite basis problem for group identities, periodic products of groups and Malcev's problem, construction of groups with special properties (Tarski monsters), constructive bounds in the Burnside–Magnus problem, and algorithmic problems: the problem of recognition of group properties, the word problem for semigroups with one relation, and semi-Thue systems. The focus is on the most important results obtained in papers of Adian and his students. Bibliography: 81 titles.
Keywords: combinatorial theory of groups and semigroups, periodic groups, Burnside problem, finite basis problem, algorithmic problems, Adian–Rabin theorem. 
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V. S. Atabekyan; L. D. Beklemishev; V. S. Guba; I. G. Lysenok; A. A. Razborov; A. L. Semenov. Questions in algebra and mathematical logic. Scientific heritage of S.\,I.~Adian. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 1, pp. 1-27. http://geodesic.mathdoc.fr/item/RM_2021_76_1_a0/